14 13/16 + 3 1/5

⚠ 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 evaluate:

14

+ \frac{13}{16}

+ 3

+ \frac{1}{5}

ⓘ Start from

14

and move forward

3

on the number line:

14 + 3

17

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

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

80

, the least common multiple of

16

and

5

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

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

13 \times 5

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

ⅰ

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

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

ⓘ Calculate the numerator and denominator before dividing:

65 + 16

81

17 + \frac{81}{80}

▶Result:

18

\frac{1}{80}

ⓘ The fraction

\frac{81}{80}

is greater than 1: extract

1

from it and add it to the whole part:

17 + \frac{81}{80}

17 + \frac{80 + 1}{80}

17 + \frac{80}{80} + \frac{1}{80}

17 + 1 + \frac{1}{80}

18 + \frac{1}{80}

The numeric value of:

18 + \frac{1}{80}

is:

18 + 0.0125

▷

18.0125

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