explain 13 19/20 + 19 7/10 + 17 9/10 — step-by-step solution

⚠ 13 19/20 is read as the mixed number 13 + 19/20

⚠ 19 7/10 is read as the mixed number 19 + 7/10

Let's evaluate:

13

+ \frac{19}{20}

+ 19

+ \frac{7}{10}

+ 17

+ \frac{9}{10}

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

\frac{19}{20} + \frac{7}{10}

\frac{19 + 2 \times 7}{20}

ℹ

13 + 19

32

32

+ \frac{19 + 2 \times 7}{20}

+ 17

+ \frac{9}{10}

ⓘMultiplications are done before additions and subtractions:

2 \times 7

14

ℹ

32 + 17

49

49 + \frac{19 + 14}{20} + \frac{9}{10}

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

19 + 14

33

49 + \frac{33}{20} + \frac{9}{10}

ℹ

\frac{33}{20} + \frac{9}{10}

\frac{33 + 9 \times 2}{20}

49 + \frac{33 + 9 \times 2}{20}

ℹ

9 \times 2

18

49 + \frac{33 + 18}{20}

ℹ

33 + 18

51

49 + \frac{51}{20}

ⓘThe fraction

\frac{51}{20}

is greater than 1: add its integer part

2

to the whole part:

\frac{51}{20} + 49

51 + \frac{11}{20}

▶Result:

51

\frac{11}{20}

The approximate value of:

51 + \frac{11}{20}

is:

51 + 0.55

▷

51.55