﻿ Simple Fraction Worksheets | Problems & Solutions
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Simple Fraction Worksheets
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1.
What decimal does the shaded region represent?  a. two-sixths b. one-fourth c. half d. two-fifths

#### Solution:

The figure is divided into five equal parts.

The decimal represented by each part is one-fifth of the whole.

So, the decimal represented by the shaded portion is two-fifths.
[Because, 2 out of 5 parts of the figure is shaded.]

Correct answer : (4)
2.
Katie cut an apple into 3 equal parts and ate 2 of them. What fraction of the apple did she eat? a. $\frac{1}{5}$ b. $\frac{3}{6}$ c. $\frac{3}{5}$ d. $\frac{2}{3}$

#### Solution:

Number of parts the apple was cut into = 3.

Number of parts Katie ate = 2.

Fraction of apple Katie ate = Number of parts she ateTotal number of parts
= 2 / 3

Katie ate 2 / 3 part of the whole apple.

Correct answer : (4)
3.
In a van there are 4 seats. 2 seats are occupied. Find the fraction of the seats that are occupied. a. $\frac{1}{3}$ b. $\frac{2}{4}$ c. $\frac{1}{8}$ d. $\frac{3}{4}$

#### Solution:

Number of seats in a van = 4

Number of seats occupied = 2

Fraction of seats occupied = 2 / 4
[Number of seats occupied ÷ total number of seats.]

2 / 4 is the fraction of seats occupied.

Correct answer : (2)
4.
What fraction of the total number of letters in the word "FRACTION" are there before the letter 'A'? a. $\frac{1}{8}$ b. $\frac{3}{8}$ c. $\frac{4}{8}$ d. $\frac{2}{8}$

#### Solution:

The number of letters before A in the word FRACTION = 2.

The total number of letters in FRACTION = 8.

The fraction of letters before A in the word 'FRACTION' = 2 / 8.

Correct answer : (4)
5.
What is the fraction of cherries among all fruits?  a. $\frac{5}{9}$ b. $\frac{4}{9}$ c. $\frac{4}{10}$ d. $\frac{3}{9}$

#### Solution:

The total number of fruits = 9.

The number of cherries = 4.

The fraction of cherries in the fruits = 4 / 9.

Correct answer : (2)
6.
What fraction of the food items are the cherries?  a. $\frac{3}{10}$ b. $\frac{10}{3}$ c. $\frac{7}{10}$ d. 3

#### Solution:

There are 10 food items in all, of which 3 are cherries.

So the fraction of cherries is 3 / 10.

Correct answer : (1)
7.
Choose the figure where $\frac{4}{5}$ of the circles are shaded.  a. Figure 1 b. Figure 3 c. Figure 2 d. Figure 4

#### Solution:

In the Figure 3, four circles out of five are shaded.

So, Figure 3 represents 4 / 5.

Correct answer : (2)
8.
What fraction of the set is shaded?  a. $\frac{3}{8}$ b. $\frac{8}{5}$ c. $\frac{13}{8}$ d. $\frac{5}{8}$

#### Solution:

There are 8 flowers in the set. Among them, 5 are shaded.

5 / 8 of the flowers are shaded.

Correct answer : (4)
9.
What fraction of the circle is shaded?  a. $\frac{2}{4}$ b. $\frac{1}{4}$ c. $\frac{4}{2}$ d. $\frac{1}{3}$

#### Solution:

One out of four parts of the circle is shaded.

So, 1 / 4 of the circle is shaded.

Correct answer : (2)
10.
Nine students were selected for the scholarships. Five of them were girls. What fraction of the students selected for the scholarships are girls? a. $\frac{5}{6}$ b. $\frac{5}{7}$ c. $\frac{5}{9}$ d. $\frac{7}{9}$

#### Solution:

Five out of nine students were girls. So, the fraction of girls in the group is 5 / 9.

Correct answer : (3)

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