explain 20 7/10 + 3 9/20 + 16 13/15 — step-by-step solution

⚠ 20 7/10 is read as the mixed number 20 + 7/10

⚠ 3 9/20 is read as the mixed number 3 + 9/20

Let's evaluate:

20

+ \frac{7}{10}

+ 3

+ \frac{9}{20}

+ 16

+ \frac{13}{15}

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

\frac{7}{10} + \frac{9}{20}

\frac{2 \times 7 + 9}{20}

ℹ

20 + 3

23

23

+ \frac{2 \times 7 + 9}{20}

+ 16

+ \frac{13}{15}

ⓘMultiplications are done before additions and subtractions:

2 \times 7

14

ℹ

23 + 16

39

39 + \frac{14 + 9}{20} + \frac{13}{15}

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

14 + 9

23

39 + \frac{23}{20} + \frac{13}{15}

ℹ

\frac{23}{20} + \frac{13}{15}

\frac{23 \times 3 + 13 \times 4}{20 \times 3}

39 + \frac{23 \times 3 + 13 \times 4}{20 \times 3}

ⓘ

23 \times 3

(20 + 3) \times 3

20 \times 3 + 3 \times 3

60 + 9

69

‖

13 \times 4

(10 + 3) \times 4

10 \times 4 + 3 \times 4

40 + 12

52

ℹ

20 \times 3

60

39 + \frac{69 + 52}{60}

ℹ

69 + 52

121

39 + \frac{121}{60}

ⓘThe fraction

\frac{121}{60}

is greater than 1: add its integer part

2

to the whole part:

\frac{121}{60} + 39

41 + \frac{1}{60}

▶Result:

41

\frac{1}{60}

The approximate value of:

41 + \frac{1}{60}

is:

41 + \approx 1.6667 \times 10^{- 2}

▷

\approx 41.0167