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Number Line Fraction Conversions

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Number Line Fraction Conversions

Read each question carefully. Simplify fractions where you can, and show your working when asked.

Read and place fractions

1.A number line runs from 0 to 3 in equal thirds. What mixed number does the marked point represent?

2.Which mixed number is equal to 13/5?

2⅗
2⅖
3⅗
1⅗

3.Which improper fraction is equal to 1⅘?

4.Convert 2⅓ to an improper fraction. Show how you worked it out.

5.Convert 1¾ to an improper fraction.

6.Convert 3⅖ to an improper fraction.

7.Write 11/4 as a mixed number.

8.Write 16/5 as a mixed number.

9.Write 19/6 as a mixed number.

Plot and compare

10.Plot and label ½, 1¼, 2⅓ and 2⅔ on the number line.

11.Plot and label 1⅖, 2⅕ and 3⅗ on the number line.

Connect and solve

12.Match each mixed number with its equivalent improper fraction.

1⅔
2¾
3⅕
2⅖
1⅜
2⅔

11/4
12/5
16/5
11/8
5/3
8/3

13.Ari says that 2⅗ is equal to 13/5. Is Ari correct? Explain how the number line supports your answer.

14.Fill the blank: 1⅔ = __/3.

15.Fill the blank: __/4 = 2¼.

16.Convert 3⅖ to an improper fraction by filling in both blanks: __/__.

17.Fill the blank: 19/6 = __⅙.

18.Select every number that is greater than 2.

9/4
1⅞
2⅓
10/5
7/3

To change a mixed number into an improper fraction, multiply the whole number by the denominator, add the numerator, and keep the same denominator. To change an improper fraction into a mixed number, divide the numerator by the denominator.