explain 14 13/16 + 3 1/5 — step-by-step solution

⚠ 14 13/16 is read as the mixed number 14 + 13/16

⚠ 3 1/5 is read as the mixed number 3 + 1/5

Let's calculate:

14

+ \frac{13}{16}

+ 3

+ \frac{1}{5}

ℹ

14 + 3

17

17 + \frac{13}{16} + \frac{1}{5}

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

\frac{13}{16} + \frac{1}{5}

\frac{13 \times 5 + 1 \times 16}{16 \times 5}

17 + \frac{13 \times 5 + 1 \times 16}{16 \times 5}

ⓘMultiplications are done before additions and subtractions:

13 \times 5

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

ℹ

1 \times 16

16

17 + \frac{65 + 16}{80}

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

65 + 16

81

17 + \frac{81}{80}

ⓘThe fraction

\frac{81}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{81}{80} + 17

18 + \frac{1}{80}

▶Result:

18

\frac{1}{80}

The approximate value of:

18 + \frac{1}{80}

is:

18 + 0.0125

▷

18.0125