Writing a mixed number as an improper fraction Online Quiz
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Q 1 - Write the following mixed number as an improper fraction.
$\mathbf {5\frac{1}{4}}$
Answer : A
Explanation
Step 1:
Using the algorithm, we multiply 5 by 4 and add 1 to get 5 × 4 + 1 = 20 + 1 = 21.
Step 2:
We put 21 as numerator and 4 as the denominator of the improper fraction.
Step 3:
So finally, we get $5\frac{1}{4} = \frac{21}{4}$
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Q 2 - Write the following mixed number as an improper fraction.
$\mathbf {7\frac{1}{3}}$
Answer : D
Explanation
Step 1:
Using the algorithm, we multiply 7 by 3 and add 1 to get 7 × 3 + 1 = 21 + 1 = 22.
Step 2:
We put 22 as numerator and 3 as the denominator of the improper fraction.
Step 3:
So finally, we get $7\frac{1}{3} = \frac{22}{3}$
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Q 3 - Write the following mixed number as an improper fraction.
$\mathbf {4\frac{1}{6}}$
Answer : B
Explanation
Step 1:
Using the algorithm, we multiply 4 by 6 and add 1 to get 4 × 6 + 1 = 24 + 1 = 25.
Step 2:
We put 25 as numerator and 6 as the denominator of the improper fraction.
Step 3:
So finally, we get $4\frac{1}{6} = \frac{25}{6}$
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Q 4 - Write the following mixed number as an improper fraction.
$\mathbf {6\frac{2}{5}}$
Answer : C
Explanation
Step 1:
Using the algorithm, we multiply 6 by 5 and add 2 to get 6 × 5 + 2 = 30 + 2 = 32.
Step 2:
We put 32 as numerator and 5 as the denominator of the improper fraction.
Step 3:
So finally, we get $6\frac{2}{5} = \frac{32}{5}$
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Q 5 - Write the following mixed number as an improper fraction.
$\mathbf {7\frac{3}{4}}$
Answer : B
Explanation
Step 1:
Using the algorithm, we multiply 7 by 4 and add 3 to get 7 × 4 + 3 = 28 + 3 = 31.
Step 2:
We put 31 as numerator and 4 as the denominator of the improper fraction.
Step 3:
So finally, we get $7\frac{3}{4} = \frac{31}{4}$
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Q 6 - Write the following mixed number as an improper fraction.
$\mathbf {8\frac{2}{3}}$
Answer : C
Explanation
Step 1:
Using the algorithm, we multiply 8 by 3 and add 2 to get 8 × 3 + 2 = 24 + 2 = 26.
Step 2:
We put 26 as numerator and 3 as the denominator of the improper fraction.
Step 3:
So finally, we get $8\frac{2}{3}
= \frac{26}{3}$
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Q 7 - Write the following mixed number as an improper fraction.
$\mathbf {5\frac{2}{7}}$
Answer : D
Explanation
Step 1:
Using the algorithm, we multiply 5 by 7 and add 2 to get 5 × 7 + 2 = 35 + 2 = 37.
Step 2:
We put 37 as numerator and 7 as the denominator of the improper fraction.
Step 3:
So finally, we get $5\frac{2}{7} = \frac{37}{7}$
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Q 8 - Write the following mixed number as an improper fraction.
$\mathbf {4\frac{4}{9}}$
Answer : A
Explanation
Step 1:
Using the algorithm, we multiply 4 by 9 and add 4 to get 4 × 9 + 4 = 36 + 4 = 40.
Step 2:
We put 40 as numerator and 9 as the denominator of the improper fraction.
Step 3:
So finally, we get $4\frac{4}{9} = \frac{40}{9}$
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Q 9 - Write the following mixed number as an improper fraction.
$\mathbf {6\frac{3}{7}}$
Answer : D
Explanation
Step 1:
Using the algorithm, we multiply 6 by 7 and add 3 to get 6 × 7 + 3 = 42 + 3 = 45.
Step 2:
We put 45 as numerator and 7 as the denominator of the improper fraction.
Step 3:
So finally, we get $6\frac{3}{7} = \frac{45}{7}$
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Q 10 - Write the following mixed number as an improper fraction.
$\mathbf {9\frac{5}{9}}$
Answer : B
Explanation
Step 1:
Using the algorithm, we multiply 9 by 9 and add 5 to get 9 × 9 + 4 = 81 + 5 = 86.
Step 2:
We put 86 as numerator and 9 as the denominator of the improper fraction.
Step 3:
So finally, we get $9\frac{5}{9} = \frac{86}{9}$
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