2 1/8 + 17 5/7

⚠ 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 evaluate:

2

+ \frac{1}{8}

+ 17

+ \frac{5}{7}

ⓘ Start from

2

and move forward

17

on the number line:

2 + 17

19

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

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

56

, the least common multiple of

8

and

7

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

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

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

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

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

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

ⓘ Multiplications are done before additions and subtractions:

5 \times 8

40

ⅰ

8 \times 7

56

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

ⓘ Calculate the numerator and denominator before dividing:

7 + 40

47

19 + \frac{47}{56}

▶Result:

19

\frac{47}{56}

The numeric value of:

19 + \frac{47}{56}

is:

19 + \approx 0.8393

▷

\approx 19.8393

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