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Q4.

Expert-verified
Found in: Page 170

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Write the mixed number as an improper fraction. $3\frac{7}{9}$

The improper fraction is $\frac{34}{9}$.

See the step by step solution

## Step -1 - Apply the concept of fractions

In this, simply use the concept of converting mixed fraction into improper fraction in this way like $a\frac{b}{c}=\frac{\left(a×c\right)+b}{c}=\frac{b+\left(ac\right)}{c}$.

## Step -2 – Find the improper fraction

Here, the fraction is $3\frac{7}{9}$.

Now, multiply the denominator to the whole number and then add that number to the numerator to get the desired fraction. $a\frac{b}{c}=\frac{\left(a×c\right)+b}{c}=\frac{b+\left(ac\right)}{c}$

$3\frac{7}{9}=\frac{\left(3×9\right)+7}{9}=\frac{27+7}{9}=\frac{34}{9}$.

So, the improper fraction is $\frac{34}{9}$.