Part of the amount - Examples, Exercises and Solutions

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.

Suggested Topics to Practice in Advance

  1. A fraction as a divisor
  2. Numerator
  3. Denominator

Practice Part of the amount

examples with solutions for part of the amount

Exercise #1

What is the marked part?

Video Solution

Step-by-Step Solution

We can see that there are three shaded parts out of six parts in total,

that is - 3/6

But this is not the final answer yet!

Let'snotice that this fraction can be reduced,

meaning, it is possible to divide both the numerator and the denominator by the same number,

so that the fraction does not lose its value. In this case, the number is 3.

3:3=1
6:3=2

And so we get 1/2, or one half.
And if we look at the original drawing, we can see that half of it is colored.

Answer

12 \frac{1}{2}

Exercise #2

What is the marked part?

Video Solution

Answer

46 \frac{4}{6}

Exercise #3

What is the marked part?

Video Solution

Answer

47 \frac{4}{7}

Exercise #4

What is the marked part?

Video Solution

Answer

16 \frac{1}{6}

Exercise #5

What is the marked part?

Video Solution

Answer

56 \frac{5}{6}

examples with solutions for part of the amount

Exercise #1

What is the marked part?

Video Solution

Answer

Answers a + b

Exercise #2

What is the marked part?

Video Solution

Answer

37 \frac{3}{7}

Exercise #3

What is the marked part?

Video Solution

Answer

410 \frac{4}{10}

Exercise #4

What is the marked part?

Video Solution

Answer

Answers b and c

Exercise #5

What is the marked part?

Video Solution

Answer

810 \frac{8}{10}

examples with solutions for part of the amount

Exercise #1

Which figure shows a shape with13 \frac{1}{3} of its area shaded in red?

Video Solution

Answer

Exercise #2

Which figure shows a shape with34 \frac{3}{4} of its area shaded in red?

Video Solution

Answer

Exercise #3

Choose the shape in which the painted part is 1 1

Video Solution

Answer

Exercise #4

Choose the shape in which the painted part is 25 \frac{2}{5}

Video Solution

Answer

Exercise #5

Choose the shape in which the painted part is 36 \frac{3}{6}

Video Solution

Answer

Topics learned in later sections

  1. Fractions
  2. Placing Fractions on the Number Line
  3. Common denominator
  4. How do you simplify fractions?
  5. Simplification and Expansion of Simple Fractions