11 15/16 + 13 7/8 + 9 13/16

⚠ 11 15/16 is read as the mixed number 11 + 15/16■13 7/8 is read as the mixed number 13 + 7/8■9 13/16 is read as the mixed number 9 + 13/16

Let's calculate:

11

+ \frac{15}{16}

+ 13

+ \frac{7}{8}

+ 9

+ \frac{13}{16}

ⓘ Start from

11

and move forward

13

on the number line:

11 + 13

24

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

\frac{15}{16} + \frac{7}{8}

\frac{15 + 2 \times 7}{16}

24

+ \frac{15 + 2 \times 7}{16}

+ 9

+ \frac{13}{16}

ⓘ Perform multiplications before additions and subtractions:

2 \times 7

14

■Start from

24

and move forward

9

on the number line:

24 + 9

33

33 + \frac{15 + 14}{16} + \frac{13}{16}

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

15 + 14

29

33 + \frac{29}{16} + \frac{13}{16}

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

\frac{29}{16} + \frac{13}{16}

\frac{29 + 13}{16}

33 + \frac{29 + 13}{16}

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

29 + 13

42

33 + \frac{42}{16}

ⓘ Simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{42}{16}

\frac{21 \times 2}{8 \times 2}

\frac{21}{8}

33 + \frac{21}{8}

▶Result:

35

\frac{5}{8}

ⓘ The fraction

\frac{21}{8}

is greater than 1: extract

2

from it and add it to the whole part:

33 + \frac{21}{8}

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

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

33 + 2 + \frac{5}{8}

35 + \frac{5}{8}

The numeric value of:

35 + \frac{5}{8}

is:

35 + 0.625

▷

35.625

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