explain 1 2/15 + 3 5/8 + 15 5/16 — step-by-step solution

⚠ 1 2/15 is read as the mixed number 1 + 2/15

⚠ 3 5/8 is read as the mixed number 3 + 5/8

Let's evaluate:

1

+ \frac{2}{15}

+ 3

+ \frac{5}{8}

+ 15

+ \frac{5}{16}

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

\frac{5}{8} + \frac{5}{16}

\frac{2 \times 5 + 5}{16}

ℹ

1 + 3

4

4

+ \frac{2}{15}

+ \frac{2 \times 5 + 5}{16}

+ 15

ⓘMultiplications are done before additions and subtractions:

2 \times 5

10

ℹ

4 + 15

19

19 + \frac{2}{15} + \frac{10 + 5}{16}

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

10 + 5

15

19 + \frac{2}{15} + \frac{15}{16}

ℹ

\frac{2}{15} + \frac{15}{16}

\frac{2 \times 16 + 15 \times 15}{15 \times 16}

19 + \frac{2 \times 16 + 15 \times 15}{15 \times 16}

ⓘ

2 \times 16

(10 + 6) \times 2

10 \times 2 + 6 \times 2

20 + 12

32

‖

15 \times 15

15 \times (10 + 5)

15 \times 10 + 15 \times 5

150 + 75

225

‖

15 \times 16

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

19 + \frac{32 + 225}{240}

ℹ

32 + 225

257

19 + \frac{257}{240}

ⓘThe fraction

\frac{257}{240}

is greater than 1: add its integer part

1

to the whole part:

\frac{257}{240} + 19

20 + \frac{17}{240}

▶Result:

20

\frac{17}{240}

The numeric value of:

20 + \frac{17}{240}

equals:

20 + \approx 7.0833 \times 10^{- 2}

▷

\approx 20.0708