1 2/15 + 3 5/8 + 15 5/16

⚠ 1 2/15 is read as the mixed number 1 + 2/15■3 5/8 is read as the mixed number 3 + 5/8■15 5/16 is read as the mixed number 15 + 5/16

Let's evaluate:

1

+ \frac{2}{15}

+ 3

+ \frac{5}{8}

+ 15

+ \frac{5}{16}

ⓘ Start from

1

and move forward

3

on the number line:

1 + 3

4

■Add fractions by using a common denominator and then adding their numerators:

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

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

4

+ \frac{2}{15}

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

+ 15

ⓘ Multiplications are done before additions and subtractions:

2 \times 5

10

■Start from

4

and move forward

15

on the number line:

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}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

240

, the least common multiple of

15

and

16

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

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

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

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

ⓘ Multiplications are done before additions and subtractions:

2 \times 16

2 \times (10 + 6)

2 \times 10 + 2 \times 6

20 + 12

32

15 \times 15

(10 + 5) \times 15

10 \times 15 + 5 \times 15

150 + 75

225

ⅰ

15 \times 16

(10 + 5) \times 16

10 \times 16 + 5 \times 16

160 + 80

240

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

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

32 + 225

257

19 + \frac{257}{240}

▶Result:

20

\frac{17}{240}

ⓘ Since the fraction

\frac{257}{240}

exceeds 1, take

1

out of it and add it to the whole part:

19 + \frac{257}{240}

19 + \frac{240 + 17}{240}

19 + \frac{240}{240} + \frac{17}{240}

19 + 1 + \frac{17}{240}

20 + \frac{17}{240}

The numeric value of:

20 + \frac{17}{240}

is:

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

▷

\approx 20.0708

100% free