Equivalent Fractions: Finding Equal Parts Worksheet

Question 1

A rectangle is divided into 2 equal parts, and 1 part is shaded. If each part is split into 2 equal smaller parts, what fraction of the rectangle is shaded now?

Accepted Answer

The shaded fraction is 2/4. One half is equivalent to two fourths because the same shaded area is split into smaller equal parts.

Question 2

Fill in the blank to make the fractions equivalent: 1/3 = ___/6.

Accepted Answer

The missing numerator is 2, so 1/3 = 2/6. The denominator 3 was multiplied by 2, so the numerator 1 must also be multiplied by 2.

Question 3

Fill in the blank to make the fractions equivalent: 2/5 = ___/10.

Accepted Answer

The missing numerator is 4, so 2/5 = 4/10. Both the numerator and denominator are multiplied by 2.

Question 4

A fraction strip shows 3/4 shaded. If each fourth is split into 2 equal parts, what equivalent fraction has a denominator of 8?

Accepted Answer

The equivalent fraction is 6/8. Each of the 3 shaded fourths becomes 2 shaded eighths, giving 6 shaded parts out of 8 total parts.

Question 5

Are 2/3 and 4/6 equivalent fractions? Explain your answer.

Accepted Answer

Yes, 2/3 and 4/6 are equivalent. If the numerator and denominator of 2/3 are both multiplied by 2, the result is 4/6.

Question 6

Write an equivalent fraction for 3/5 with a denominator of 15.

Accepted Answer

An equivalent fraction is 9/15. The denominator 5 is multiplied by 3 to get 15, so the numerator 3 is also multiplied by 3 to get 9.

Question 7

A circle is divided into 6 equal slices, and 2 slices are shaded. What simpler fraction names the same shaded part?

Accepted Answer

The simpler fraction is 1/3. The fraction 2/6 can be divided by 2 in both the numerator and denominator to make 1/3.

Question 8

Fill in the blank to make the fractions equivalent: 4/8 = ___/2.

Accepted Answer

The missing numerator is 1, so 4/8 = 1/2. Dividing both 4 and 8 by 4 gives 1/2.

Question 9

Mia shaded 5 out of 10 equal squares in a grid. Leo shaded 1 out of 2 equal parts in a matching rectangle. Did they shade the same amount? Explain.

Accepted Answer

Yes, they shaded the same amount. The fraction 5/10 is equivalent to 1/2 because 5 out of 10 equal parts is half of the whole.

Question 10

Find the missing denominator: 3/4 = 9/___ .

Accepted Answer

The missing denominator is 12, so 3/4 = 9/12. The numerator 3 is multiplied by 3 to get 9, so the denominator 4 is also multiplied by 3.

Question 11

Which fraction is equivalent to 2/4: 1/4, 1/2, or 3/4? Explain how you know.

Accepted Answer

The equivalent fraction is 1/2. The fraction 2/4 means 2 of 4 equal parts, which is half of the whole.

Question 12

A number line from 0 to 1 is divided into 3 equal parts. The point at 1/3 is marked. If the same number line is divided into 6 equal parts, what fraction is at the same point?

Accepted Answer

The fraction at the same point is 2/6. One third and two sixths show the same location on the number line.

Question 13

Write two fractions that are equivalent to 1/4.

Accepted Answer

Two possible equivalent fractions are 2/8 and 3/12. They are found by multiplying the numerator and denominator of 1/4 by the same number.

Question 14

Simplify the fraction 6/12 by finding an equivalent fraction with smaller numbers.

Accepted Answer

The simplified fraction is 1/2. Dividing both the numerator 6 and the denominator 12 by 6 gives 1/2.

Question 15

Jamal says 2/6 is equivalent to 1/3 because both fractions can show the same amount of a whole. Draw or describe equal parts to prove he is correct.

Accepted Answer

Jamal is correct. If a whole is divided into 6 equal parts and 2 are shaded, the shaded part can be grouped into 1 out of 3 equal groups, so 2/6 = 1/3.

Equivalent Fractions: Finding Equal Parts

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