explain 7 7/16 + 6 11/12 + 14 6/7 — step-by-step solution

⚠ 7 7/16 is read as the mixed number 7 + 7/16

⚠ 6 11/12 is read as the mixed number 6 + 11/12

Let's evaluate:

7

+ \frac{7}{16}

+ 6

+ \frac{11}{12}

+ 14

+ \frac{6}{7}

ℹ

7 + 6

13

13

+ \frac{7}{16}

+ \frac{11}{12}

+ 14

+ \frac{6}{7}

ℹ

13 + 14

27

27

+ \frac{7}{16}

+ \frac{11}{12}

+ \frac{6}{7}

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

\frac{7}{16} + \frac{11}{12}

\frac{7 \times 3 + 11 \times 4}{16 \times 3}

27 + \frac{7 \times 3 + 11 \times 4}{16 \times 3} + \frac{6}{7}

ⓘMultiplications are done before additions and subtractions:

7 \times 3

21

‖

11 \times 4

(10 + 1) \times 4

10 \times 4 + 4

40 + 4

44

‖

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

27 + \frac{21 + 44}{48} + \frac{6}{7}

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

21 + 44

65

27 + \frac{65}{48} + \frac{6}{7}

ℹ

\frac{65}{48} + \frac{6}{7}

\frac{65 \times 7 + 6 \times 48}{48 \times 7}

27 + \frac{65 \times 7 + 6 \times 48}{48 \times 7}

ⓘ

65 \times 7

(60 + 5) \times 7

60 \times 7 + 5 \times 7

420 + 35

455

‖

6 \times 48

(40 + 8) \times 6

40 \times 6 + 8 \times 6

240 + 48

288

‖

48 \times 7

(40 + 8) \times 7

40 \times 7 + 8 \times 7

280 + 56

336

27 + \frac{455 + 288}{336}

ℹ

455 + 288

743

27 + \frac{743}{336}

ⓘThe fraction

\frac{743}{336}

is greater than 1: add its integer part

2

to the whole part:

\frac{743}{336} + 27

29 + \frac{71}{336}

▶Result:

29

\frac{71}{336}

The numeric value of:

29 + \frac{71}{336}

is:

29 + \approx 0.2113

▷

\approx 29.2113