explain 17 15/16 + 8 2/9 + 23 6/7 — step-by-step solution

⚠ 17 15/16 is read as the mixed number 17 + 15/16

⚠ 8 2/9 is read as the mixed number 8 + 2/9

Let's evaluate:

17

+ \frac{15}{16}

+ 8

+ \frac{2}{9}

+ 23

+ \frac{6}{7}

ℹ

17 + 8

25

25

+ \frac{15}{16}

+ \frac{2}{9}

+ 23

+ \frac{6}{7}

ℹ

25 + 23

48

48

+ \frac{15}{16}

+ \frac{2}{9}

+ \frac{6}{7}

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

\frac{15}{16} + \frac{2}{9}

\frac{15 \times 9 + 2 \times 16}{16 \times 9}

48 + \frac{15 \times 9 + 2 \times 16}{16 \times 9} + \frac{6}{7}

ⓘMultiplications are done before additions and subtractions:

15 \times 9

(10 + 5) \times 9

10 \times 9 + 5 \times 9

90 + 45

135

‖

2 \times 16

(10 + 6) \times 2

10 \times 2 + 6 \times 2

20 + 12

32

‖

16 \times 9

(10 + 6) \times 9

10 \times 9 + 6 \times 9

90 + 54

144

48 + \frac{135 + 32}{144} + \frac{6}{7}

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

135 + 32

167

48 + \frac{167}{144} + \frac{6}{7}

ℹ

\frac{167}{144} + \frac{6}{7}

\frac{167 \times 7 + 6 \times 144}{144 \times 7}

48 + \frac{167 \times 7 + 6 \times 144}{144 \times 7}

ⓘ

167 \times 7

(100 + 60 + 7) \times 7

100 \times 7 + 60 \times 7 + 7 \times 7

700 + 420 + 49

1169

‖

6 \times 144

(100 + 40 + 4) \times 6

100 \times 6 + 40 \times 6 + 4 \times 6

600 + 240 + 24

864

‖

144 \times 7

(100 + 40 + 4) \times 7

100 \times 7 + 40 \times 7 + 4 \times 7

700 + 280 + 28

1008

48 + \frac{1169 + 864}{1008}

ℹ

1169 + 864

2033

48 + \frac{2033}{1008}

ⓘThe fraction

\frac{2033}{1008}

is greater than 1: add its integer part

2

to the whole part:

\frac{2033}{1008} + 48

50 + \frac{17}{1008}

▶Result:

50

\frac{17}{1008}

The numeric value of:

50 + \frac{17}{1008}

equals:

50 + \approx 1.6865 \times 10^{- 2}

▷

\approx 50.0169