19 13/20 + 13 5/7 + 15 1/5

⚠ 19 13/20 is read as the mixed number 19 + 13/20■13 5/7 is read as the mixed number 13 + 5/7■15 1/5 is read as the mixed number 15 + 1/5

Let's evaluate:

19

+ \frac{13}{20}

+ 13

+ \frac{5}{7}

+ 15

+ \frac{1}{5}

ⓘ Start from

19

and move forward

13

on the number line:

19 + 13

32

■Add fractions by using a common denominator and then adding their numerators:

\frac{13}{20} + \frac{1}{5}

\frac{13 + 4}{20}

32

+ \frac{13 + 4}{20}

+ \frac{5}{7}

+ 15

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

13 + 4

17

32

+ \frac{17}{20}

+ \frac{5}{7}

+ 15

ⓘ Start from

32

and move forward

15

on the number line:

32 + 15

47

47 + \frac{17}{20} + \frac{5}{7}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

140

, the least common multiple of

20

and

7

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

\frac{17}{20} + \frac{5}{7}

\frac{17 \times 7}{20 \times 7} + \frac{5 \times 20}{7 \times 20}

\frac{17 \times 7 + 5 \times 20}{20 \times 7}

47 + \frac{17 \times 7 + 5 \times 20}{20 \times 7}

ⓘ Perform multiplications before additions and subtractions:

17 \times 7

(10 + 7) \times 7

10 \times 7 + 7 \times 7

70 + 49

119

5 \times 20

100

ⅰ

20 \times 7

140

47 + \frac{119 + 100}{140}

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

119 + 100

219

47 + \frac{219}{140}

▶Result:

48

\frac{79}{140}

ⓘ Since the fraction

\frac{219}{140}

exceeds 1, take

1

out of it and add it to the whole part:

47 + \frac{219}{140}

47 + \frac{140 + 79}{140}

47 + \frac{140}{140} + \frac{79}{140}

47 + 1 + \frac{79}{140}

48 + \frac{79}{140}

The numeric value of:

48 + \frac{79}{140}

is:

48 + \approx 0.5643

▷

\approx 48.5643

100% free