3 4/9 + 1 15/16 + 11 6/7 — step-by-step solution

⚠ 3 4/9 is read as the mixed number 3 + 4/9

⚠ 1 15/16 is read as the mixed number 1 + 15/16

Let's evaluate:

3

+ \frac{4}{9}

+ 1

+ \frac{15}{16}

+ 11

+ \frac{6}{7}

4

+ \frac{4}{9}

+ \frac{15}{16}

+ 11

+ \frac{6}{7}

15

+ \frac{4}{9}

+ \frac{15}{16}

+ \frac{6}{7}

15 + \frac{4 \times 16 + 15 \times 9}{9 \times 16} + \frac{6}{7}

15 + \frac{64 + 135}{144} + \frac{6}{7}

15 + \frac{199}{144} + \frac{6}{7}

15 + \frac{199 \times 7 + 6 \times 144}{144 \times 7}

15 + \frac{1393 + 864}{1008}

15 + \frac{2257}{1008}

ⓘThe fraction

\frac{2257}{1008}

is greater than 1: add its integer part

2

to the whole part:

\frac{2257}{1008} + 15

17 + \frac{241}{1008}

▶Result:

17

\frac{241}{1008}

The approximate value of:

17 + \frac{241}{1008}

equals:

17 + \approx 0.2391

▷

\approx 17.2391