explain 6 14/15 + 3 1/6 — step-by-step solution

⚠ 6 14/15 is read as the mixed number 6 + 14/15

⚠ 3 1/6 is read as the mixed number 3 + 1/6

Let's evaluate:

6

+ \frac{14}{15}

+ 3

+ \frac{1}{6}

ℹ

6 + 3

9

9 + \frac{14}{15} + \frac{1}{6}

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

\frac{14}{15} + \frac{1}{6}

\frac{14 \times 2 + 1 \times 5}{15 \times 2}

9 + \frac{14 \times 2 + 1 \times 5}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

14 \times 2

(10 + 4) \times 2

10 \times 2 + 4 \times 2

20 + 8

28

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

1 \times 5

5

9 + \frac{28 + 5}{30}

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

28 + 5

33

9 + \frac{33}{30}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{33}{30}

\frac{11 \times 3}{10 \times 3}

\frac{11}{10}

9 + \frac{11}{10}

ⓘThe fraction

\frac{11}{10}

is greater than 1: add its integer part

1

to the whole part:

\frac{11}{10} + 9

10 + \frac{1}{10}

▶Result:

10

\frac{1}{10}

The approximate value of:

10 + \frac{1}{10}

is:

10 + 0.1

▷

10.1