Express the following as improper fractions:
a) 7 3/4
b) 5 6/7
c) 2 5/6
d) 9 3/7

To convert mixed numbers to improper fractions, multiply the whole number by the denominator, then add the numerator. For example, 7 3/4 becomes 4 31 ​ . The resulting improper fractions for the given mixed numbers are 4 31 ​ , 7 41 ​ , 6 17 ​ , and 7 66 ​ .
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Answered by Anonymous | 2025-07-04

To convert mixed numbers into improper fractions, you need to follow these steps:

Multiply the whole number by the denominator of the fractional part.
Add the result to the numerator of the fractional part.
The sum becomes the new numerator, and the denominator remains the same.

Let's apply these steps to each part of the question:
a) 7 3/4

Multiply the whole number by the denominator: 7 × 4 = 28
Add the result to the numerator: 28 + 3 = 31
So, the improper fraction is 4 31 ​

b) 5 6/7

Multiply the whole number by the denominator: 5 × 7 = 35
Add the result to the numerator: 35 + 6 = 41
So, the improper fraction is 7 41 ​

c) 2 5/6

Multiply the whole number by the denominator: 2 × 6 = 12
Add the result to the numerator: 12 + 5 = 17
So, the improper fraction is 6 17 ​

d) 9 3/7

Multiply the whole number by the denominator: 9 × 7 = 63
Add the result to the numerator: 63 + 3 = 66
So, the improper fraction is 7 66 ​

These steps help convert mixed numbers, which combine whole numbers and fractions, into improper fractions where the numerator is greater than or equal to the denominator.

Answered by JessicaJessy | 2025-07-06