explain 11 15/16 + 13 7/8 + 9 13/16 — step-by-step solution

⚠ 11 15/16 is read as the mixed number 11 + 15/16

⚠ 13 7/8 is read as the mixed number 13 + 7/8

Let's calculate:

11

+ \frac{15}{16}

+ 13

+ \frac{7}{8}

+ 9

+ \frac{13}{16}

ⓘ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}

ℹ

11 + 13

24

24

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

+ 9

+ \frac{13}{16}

ⓘMultiplications are done before additions and subtractions:

2 \times 7

14

ℹ

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}

ℹ

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

\frac{29 + 13}{16}

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

ℹ

29 + 13

42

33 + \frac{42}{16}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{42}{16}

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

\frac{21}{8}

33 + \frac{21}{8}

ⓘThe fraction

\frac{21}{8}

is greater than 1: add its integer part

2

to the whole part:

\frac{21}{8} + 33

35 + \frac{5}{8}

▶Result:

35

\frac{5}{8}

The approximate value of:

35 + \frac{5}{8}

equals:

35 + 0.625

▷

35.625