explain 2 1/8 + 17 5/7 — step-by-step solution

⚠ 2 1/8 is read as the mixed number 2 + 1/8

⚠ 17 5/7 is read as the mixed number 17 + 5/7

Let's calculate:

2

+ \frac{1}{8}

+ 17

+ \frac{5}{7}

ℹ

2 + 17

19

19 + \frac{1}{8} + \frac{5}{7}

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

\frac{1}{8} + \frac{5}{7}

\frac{1 \times 7 + 5 \times 8}{8 \times 7}

19 + \frac{1 \times 7 + 5 \times 8}{8 \times 7}

ⓘMultiplications are done before additions and subtractions:

5 \times 8

40

ℹ

1 \times 7

7

‖

8 \times 7

56

19 + \frac{7 + 40}{56}

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

7 + 40

47

19 + \frac{47}{56}

▶Result:

19

\frac{47}{56}

The approximate value of:

19 + \frac{47}{56}

is:

19 + \approx 0.8393

▷

\approx 19.8393