explain 5 9/10 + 9 1/5 — step-by-step solution

⚠ 5 9/10 is read as the mixed number 5 + 9/10

⚠ 9 1/5 is read as the mixed number 9 + 1/5

Let's evaluate:

5

+ \frac{9}{10}

+ 9

+ \frac{1}{5}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

\frac{9}{10} + \frac{1}{5}

\frac{9 + 2}{10}

ℹ

5 + 9

14

14 + \frac{9 + 2}{10}

ⓘThe numerator and the denominator are computed before the division:

9 + 2

11

14 + \frac{11}{10}

ⓘThe fraction

\frac{11}{10}

is greater than 1: add its integer part

1

to the whole part:

\frac{11}{10} + 14

15 + \frac{1}{10}

▶Result:

15

\frac{1}{10}

The numeric value of:

15 + \frac{1}{10}

is:

15 + 0.1

▷

15.1