Which figure shows a shape with$$ \frac{3}{4} $$ of its area shaded in red?

Choose the shape in which the painted part is $$ \frac{2}{5} $$

Choose the shape in which the painted part is $$ \frac{2}{7} $$

In which example below does the colored section account for more than a $$ \frac{1}{5} $$ of the shape as a whole?

Part of an Amount Practice Problems - Fraction Word

Master finding partial amounts, total amounts, and fraction parts with step-by-step practice problems. Learn three essential situations in fraction word problems.

📚Master Part of an Amount Problems with Interactive Practice

Find partial amounts by dividing total by denominator and multiplying by numerator
Calculate total amounts when given partial amounts and fraction parts
Determine fraction parts by writing partial amount over total amount
Solve real-world word problems involving students, classes, and everyday situations
Apply the three-step method for each type of part-of-amount problem
Reduce fractions to lowest terms to find the correct part of quantity

Understanding Part of an Amount

Complete explanation with examples

To find the partial amount

We will divide the total amount by the denominator of the part, multiply the result obtained by the numerator of the part and obtain the partial amount.

To find the total amount

We will divide the given number (part of a quantity) by the numerator of the part.
We will multiply the result by the denominator of the part and obtain the whole quantity.

To find the part of the quantity

In the numerator - we will note the partial amount
In the denominator - we will note the total amount
We will reduce the fraction we receive and reach the desired part.

Detailed explanation

Practice Part of an Amount

Test your knowledge with 7 quizzes

Choose the way in which the painted part is greater than $\frac{2}{5}$

Examples with solutions for Part of an Amount

Step-by-step solutions included

Exercise #1

What is the marked part?

Step-by-Step Solution

To solve this problem, we will count the total number of equal sections in the grid and the number of these sections that the marked area covers.

Step 1: Determine Total Sections. The grid is divided into several vertical sections. By examining the grid lines, we see that the total number of vertical sections is 7.
Step 2: Determine Marked Sections. The marked (colored) part spans 3 of these vertical sections within the total grid.
Step 3: Compute Fraction. The fraction of the total area covered by the marked part is calculated as the number of marked sections divided by the total number of sections: $\frac{3}{7}$ .

Therefore, the fraction of the area that is marked is $\frac{3}{7}$ .

Answer:

$\frac{3}{7}$

Video Solution

Exercise #2

What is the marked part?

Step-by-Step Solution

To determine the marked part, we need to calculate the fraction of the diagram that is shaded red.

First, we count the total number of rectangles in the diagram. There are 10 rectangles visible along a straight line.

Next, we count the number of rectangles shaded red. There are 8 red rectangles in the diagram.

Therefore, the fraction of the total diagram that is marked red is calculated as $\frac{\text{Number of Red Rectangles}}{\text{Total Number of Rectangles}} = \frac{8}{10}$ .

This fraction simplifies to $\frac{4}{5}$ , but the answer provided is in the form $\frac{8}{10}$ , which is equivalent.

Therefore, the marked part of the diagram is $\frac{8}{10}$ .

Answer:

$\frac{8}{10}$

Video Solution

Exercise #3

What fraction does the part shaded in red represent?

Step-by-Step Solution

To work out what the marked part is, we need to count how many coloured squares there are compared to how many squares there are in total.

If we count the coloured squares, we see that there are four such squares.

If we count all the squares, we see that there are seven in all.

Therefore, 4/7 of the squares are shaded in red.

Answer:

$\frac{4}{7}$

Video Solution

Exercise #4

What is the marked part?

Step-by-Step Solution

To solve the problem of finding the fraction of the marked part in the grid:

The grid consists of a series of squares, each of equal size. The task is to count how many squares are marked compared to the entire grid.

First, count the total number of squares in the entire grid.
Next, count the number of marked (colored) squares.
Then, calculate the fraction of the marked part by dividing the number of marked squares by the total number of squares.

Let's perform these steps:

The grid displays several rows of columns. Visually, there appear to be a total of 10 squares in one row with corresponding columns, forming a grid.

Count the marked squares from the provided SVG graphic:

There are 4 shaded (marked) regions.

Total squares: 10 (lines are shown for organizing squares, as seen).

Calculate the fraction:

$\frac{\text{marked squares}}{\text{total squares}} = \frac{4}{10}$

Thus, the marked part of the shape can be given as a fraction: $\frac{4}{10}$ .

Answer:

$\frac{4}{10}$

Video Solution

Exercise #5

What is the marked part?

Step-by-Step Solution

Let's solve this problem step-by-step:

First, examine the grid and count the total number of sections. Observing the grid, there is a total of 6 columns, each representing equal-sized portions along the grid, as evidenced by vertical lines.

Next, count how many of these sections are colored. The entire portion from the first column to the fourth column is colored. This means we have 4 out of 6 sections that are marked red.

We can then express the colored area as a fraction: $\frac{4}{6}$ .

Answer:

$\frac{4}{6}$

Video Solution

Frequently Asked Questions

Everything you need to know about Part of an Amount

How do you find a part of an amount using fractions?

To find a partial amount, divide the total amount by the denominator of the fraction, then multiply the result by the numerator. For example, to find 2/3 of 30 students: 30 ÷ 3 = 10, then 10 × 2 = 20 students.

What are the three situations in part of amount problems?

The three situations are: 1) Finding the partial amount when total and fraction are known, 2) Finding the total amount when partial amount and fraction are known, and 3) Finding the fraction part when both partial and total amounts are known.

How do you find the total amount from a partial amount?

Divide the given partial amount by the numerator of the fraction, then multiply the result by the denominator. For example, if 6 students represent 2/5 of a class: 6 ÷ 2 = 3, then 3 × 5 = 15 total students.

What steps do you follow to find what fraction one amount is of another?

Write the partial amount as the numerator and the total amount as the denominator to create a fraction. Then reduce this fraction to its lowest terms. For example, 7 out of 42 students equals 7/42, which reduces to 1/6.

Why do we divide by the denominator first in part of amount problems?

Dividing by the denominator tells us the value of one equal part. When we divide 30 by 3, we get 10, meaning each third equals 10. Then we can multiply by the numerator to find how many of those parts we need.

What are common mistakes students make with part of amount problems?

Common mistakes include: multiplying instead of dividing by the denominator, forgetting to multiply by the numerator, mixing up which number goes in the numerator vs denominator, and not reducing fractions to lowest terms.

How can part of amount problems help in real life?

Part of amount problems appear in many real situations like calculating discounts (1/4 off the price), determining portions of ingredients in recipes, finding what fraction of students passed a test, or calculating partial attendance at events.

What is the easiest way to remember the part of amount formula?

Remember the pattern: For partial amounts, divide total by bottom number, multiply by top number. For total amounts, divide partial by top number, multiply by bottom number. For finding the fraction, put partial amount on top, total amount on bottom.

Continue Your Math Journey

Master Part of an Amount first, then advance to these related topics that build on your fraction skills

Topics Learned in Later Sections

Fractions Remainder of a fraction Remainders Placing Fractions on the Number Line Common denominator How do you simplify fractions?Simplification and Expansion of Simple Fractions

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Approximate the area of the colored part of the shape Identify the greater value Matching description to fraction Visual representation of a fraction

Part of an Amount Practice Problems - Fraction Word

Understanding Part of an Amount

To find the partial amount

To find the total amount

To find the part of the quantity

Practice Part of an Amount

Examples with solutions for Part of an Amount

Frequently Asked Questions

How do you find a part of an amount using fractions?

What are the three situations in part of amount problems?

How do you find the total amount from a partial amount?

What steps do you follow to find what fraction one amount is of another?

Why do we divide by the denominator first in part of amount problems?

What are common mistakes students make with part of amount problems?

How can part of amount problems help in real life?

What is the easiest way to remember the part of amount formula?

More Part of an Amount Questions

Part of an Amount

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Topics Learned in Later Sections

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