puntgewelb5

2021-11-17

Find the sum by converting the mixed numbers to improper fractions: $5\frac{5}{9}+3\frac{7}{9}$ .

Kathleen Ashton

Beginner2021-11-18Added 15 answers

Calculation:

Given$5\frac{5}{9}+3\frac{7}{9}$

Writing the mixed numbers as improper functions,

$5\frac{5}{9}+3\frac{7}{9}=\frac{9\left(5\right)+5}{9}+\frac{9\left(3\right)+5}{9}$

$5\frac{5}{9}+3\frac{7}{9}=\frac{45+5}{9}+\frac{27+5}{9}$

$5\frac{5}{9}+3\frac{7}{9}=\frac{50}{9}+\frac{32}{9}$

To add or subtract rational numbers the denominators need to be equal.

When the denominators are equal, the numerators can be added or subtracted as per the operation.

Hence,$5\frac{5}{9}+3\frac{7}{9}=\frac{50+32}{9}$

$5\frac{5}{9}+3\frac{7}{9}=\frac{82}{9}$

To convert the improper fraction to mixed fraction, the numerator is written as sum of a multiple of denominator and the remainder.

$5\frac{5}{9}+3\frac{7}{9}=\frac{81+1}{9}$

$5\frac{5}{9}+3\frac{7}{9}=\frac{81}{9}+\frac{1}{9}$

$5\frac{5}{9}+3\frac{7}{9}=9+\frac{1}{9}$

$5\frac{5}{9}+3\frac{7}{9}=9\frac{1}{9}$

Therefore,$5\frac{5}{9}+3\frac{7}{9}=9\frac{1}{9}$ .

Given

Writing the mixed numbers as improper functions,

To add or subtract rational numbers the denominators need to be equal.

When the denominators are equal, the numerators can be added or subtracted as per the operation.

Hence,

To convert the improper fraction to mixed fraction, the numerator is written as sum of a multiple of denominator and the remainder.

Therefore,