8 3/5 + 7 9/16

⚠ 8 3/5 is read as the mixed number 8 + 3/5■7 9/16 is read as the mixed number 7 + 9/16

Let's evaluate:

8

+ \frac{3}{5}

+ 7

+ \frac{9}{16}

ⓘ Start from

8

and move forward

7

on the number line:

8 + 7

15

15 + \frac{3}{5} + \frac{9}{16}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

80

, the least common multiple of

5

and

16

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

\frac{3}{5} + \frac{9}{16}

\frac{3 \times 16}{5 \times 16} + \frac{9 \times 5}{16 \times 5}

\frac{3 \times 16 + 9 \times 5}{5 \times 16}

15 + \frac{3 \times 16 + 9 \times 5}{5 \times 16}

ⓘ Perform multiplications before additions and subtractions:

3 \times 16

3 \times (10 + 6)

3 \times 10 + 3 \times 6

30 + 18

48

9 \times 5

45

ⅰ

5 \times 16

5 \times (10 + 6)

5 \times 10 + 5 \times 6

50 + 30

80

15 + \frac{48 + 45}{80}

ⓘ Calculate the numerator and denominator before dividing:

48 + 45

93

15 + \frac{93}{80}

▶Result:

16

\frac{13}{80}

ⓘ Since the fraction

\frac{93}{80}

exceeds 1, take

1

out of it and add it to the whole part:

15 + \frac{93}{80}

15 + \frac{80 + 13}{80}

15 + \frac{80}{80} + \frac{13}{80}

15 + 1 + \frac{13}{80}

16 + \frac{13}{80}

The numeric value of:

16 + \frac{13}{80}

equals:

16 + 0.1625

▷

16.1625

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