6 2/5 + 9 5/8

⚠ 6 2/5 is read as the mixed number 6 + 2/5■9 5/8 is read as the mixed number 9 + 5/8

Let's calculate:

6

+ \frac{2}{5}

+ 9

+ \frac{5}{8}

ⓘ Start from

6

and move forward

9

on the number line:

6 + 9

15

15 + \frac{2}{5} + \frac{5}{8}

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

40

, the least common multiple of

5

and

8

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

\frac{2}{5} + \frac{5}{8}

\frac{2 \times 8}{5 \times 8} + \frac{5 \times 5}{8 \times 5}

\frac{2 \times 8 + 5 \times 5}{5 \times 8}

15 + \frac{2 \times 8 + 5 \times 5}{5 \times 8}

ⓘ Perform multiplications before additions and subtractions:

2 \times 8

16

5 \times 5

25

ⅰ

5 \times 8

40

15 + \frac{16 + 25}{40}

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

16 + 25

41

15 + \frac{41}{40}

▶Result:

16

\frac{1}{40}

ⓘ Since the fraction

\frac{41}{40}

exceeds 1, take

1

out of it and add it to the whole part:

15 + \frac{41}{40}

15 + \frac{40 + 1}{40}

15 + \frac{40}{40} + \frac{1}{40}

15 + 1 + \frac{1}{40}

16 + \frac{1}{40}

The numeric value of:

16 + \frac{1}{40}

equals:

16 + 0.025

▷

16.025

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