13 19/20 + 19 7/10 + 17 9/10

⚠ 13 19/20 is read as the mixed number 13 + 19/20■19 7/10 is read as the mixed number 19 + 7/10■17 9/10 is read as the mixed number 17 + 9/10

Let's evaluate:

13

+ \frac{19}{20}

+ 19

+ \frac{7}{10}

+ 17

+ \frac{9}{10}

ⓘ Start from

13

and move forward

19

on the number line:

13 + 19

32

■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}

32

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

+ 17

+ \frac{9}{10}

ⓘ Multiplications are done before additions and subtractions:

2 \times 7

14

■Start from

32

and move forward

17

on the number line:

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}

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

20

, the least common multiple of

20

and

10

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

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

\frac{33}{20} + \frac{9 \times 2}{10 \times 2}

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

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

ⓘ Multiplications are done before additions and subtractions:

9 \times 2

18

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

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

33 + 18

51

49 + \frac{51}{20}

▶Result:

51

\frac{11}{20}

ⓘ Since the fraction

\frac{51}{20}

exceeds 1, take

2

out of it and add it to the whole part:

49 + \frac{51}{20}

49 + \frac{40 + 11}{20}

49 + \frac{40}{20} + \frac{11}{20}

49 + 2 + \frac{11}{20}

51 + \frac{11}{20}

The numeric value of:

51 + \frac{11}{20}

is:

51 + 0.55

▷

51.55

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