Simple Fractions - Examples, Exercises and Solutions

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 2 parts and 1 part is coloured.

If we rewrite this as a fraction, we obtain the following:

$\frac{1}{2}$

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 3 parts and 2 parts are coloured.

Hence:

$\frac{2}{3}$

The number of parts in the circle represents the denominator of the fraction, and the number of colored parts represents the numerator.

The circle is divided into 3 parts, 1 part is colored.

Hence:

$\frac{1}{3}$

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: $\frac{4}{6}$.

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.

Let's begin:

Step 1: Upon examination, the diagram divides the rectangle into 7 vertical sections.

Step 2: The entire shaded region spans the full width, essentially covering all sections, so the shaded number is 7.

Step 3: The fraction of the total rectangle that is shaded is $\frac{7}{7}$.

Step 4: Simplifying, $\frac{7}{7}$ becomes $1$.

Therefore, the solution is marked by the choice: Answers a + b.

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 $\frac{3}{7}$.

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: $\frac{4}{10}$.

To determine the fraction of the area that is shaded, we need to analyze the diagram carefully.

• Step 1: Count the total number of squares in the grid.
• Step 2: Count the number of shaded squares.
• Step 3: Calculate the fraction by dividing the number of shaded squares by the total number of squares.
• Step 4: Compare this fraction with the given choices.

Now, let's execute each step:

Step 1: The grid is structured in terms of columns and rows. Observing the entire structure, we find that there are clearly 10 columns and 1 row of squares, leading to a total of $10 \times 1 = 10$ squares in the grid.

Step 2: Each square width equals that of one column; 4 shaded sections fill up to 5 sections of columns horizontally:

• Two small shaded squares (1 width) plus one square is completely filled as part of two columns, making up 2 columns in total.
• One large shaded rectangle (5 width) fully occupies the width of a large single square (2 columns), counting as 5 columns (2 + 3 more), confirming 2 + 3 column segments cover it.

Step 3: Simplifies the amount as layed means $5$ shaded parts.

Step 4: Thus, the fraction calculated is $\frac{5}{10}$, which simplifies to $\frac{1}{2}$.

The correct answer choice corresponds to choices b and c as $\frac{5}{10}$ and $\frac{1}{2}$ are equivalent by simplification.

Therefore, the answer is:

Answers b and c

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 $\frac{8}{10}$.

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can write it thusly:

\frac{5}{6} < 1

Therefore, the quotient in the division exercise is indeed less than 1.

Note that the numerator is smaller than the denominator:

1 < 2

As a result, we can claim that:

\frac{1}{2}<1

Therefore, the fraction in the division problem is indeed less than 1.

To solve this problem, we'll visually interpret the pie chart provided:

• Step 1: Count the divisions of the circle in the pie chart.
• Step 2: Identify the proportion of the circle that is shaded.
• Step 3: Translate this fraction into words.

Let's work through these steps:

Step 1: The circle (pie chart) is divided into three equal parts. This division is typical for pie charts expressing fractions.

Step 2: Out of the three divisions, one segment is shaded. This visually represents the fraction $\frac{1}{3}$ of the whole circle.

Step 3: The fraction $\frac{1}{3}$ is pronounced as "one third" in words.

Thus, the fraction shown in the picture is correctly expressed in words as One third.

To solve this problem, we'll follow these steps:

• Step 1: Analyze the given visual representation.
• Step 2: Identify the fraction and convert it into words.

Initially, we examine the circle in the provided graphic, which is divided into three equal parts. Two of these parts are shaded.

Step 1: Count the sections. There are three sections in total, which means the denominator of the fraction is 3. Two of these sections are shaded, so the numerator is 2.

Step 2: Translate the numeric fraction $\frac{2}{3}$ into words.
The word representation of $\frac{2}{3}$ is "two thirds."

Thus, the answer to this problem is two thirds.

To solve this problem, we need to convert the visual representation of a fraction into words. Let's break down the process step by step:

Step 1: Identify the given visual information

The given image is a circle, which represents a whole. It has two distinct halves divided by a vertical line. One half is shaded, which indicates the fraction that we need to express in words.

Step 2: Determine the fraction represented

Given that one half of the circle is shaded, it indicates that this is one part of two equal parts.

Step 3: Write the fraction in words

The fraction that corresponds to one out of two equal parts is $\frac{1}{2}$, expressed in words as "half."

Therefore, the fraction shown in the picture, expressed in words, is Half.