explain 17 3/10 + 23 3/7 + 13 1/4 — step-by-step solution

⚠ 17 3/10 is read as the mixed number 17 + 3/10

⚠ 23 3/7 is read as the mixed number 23 + 3/7

Let's evaluate:

17

+ \frac{3}{10}

+ 23

+ \frac{3}{7}

+ 13

+ \frac{1}{4}

ℹ

17 + 23

40

40

+ \frac{3}{10}

+ \frac{3}{7}

+ 13

+ \frac{1}{4}

ℹ

40 + 13

53

53

+ \frac{3}{10}

+ \frac{3}{7}

+ \frac{1}{4}

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

\frac{3}{10} + \frac{3}{7}

\frac{3 \times 7 + 3 \times 10}{10 \times 7}

53 + \frac{3 \times 7 + 3 \times 10}{10 \times 7} + \frac{1}{4}

ⓘMultiplications are done before additions and subtractions:

3 \times 7

21

ℹ

3 \times 10

30

‖

10 \times 7

70

53 + \frac{21 + 30}{70} + \frac{1}{4}

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

21 + 30

51

53 + \frac{51}{70} + \frac{1}{4}

ℹ

\frac{51}{70} + \frac{1}{4}

\frac{51 \times 2 + 1 \times 35}{70 \times 2}

53 + \frac{51 \times 2 + 1 \times 35}{70 \times 2}

ⓘ

51 \times 2

(50 + 1) \times 2

50 \times 2 + 2

100 + 2

102

ℹ

1 \times 35

35

‖

70 \times 2

140

53 + \frac{102 + 35}{140}

ℹ

102 + 35

137

53 + \frac{137}{140}

▶Result:

53

\frac{137}{140}

The approximate value of:

53 + \frac{137}{140}

is:

53 + \approx 0.9786

▷

\approx 53.9786