explain 7 5/12 + 2 3/16 + 6 11/16 — step-by-step solution

⚠ 7 5/12 is read as the mixed number 7 + 5/12

⚠ 2 3/16 is read as the mixed number 2 + 3/16

Let's evaluate:

7

+ \frac{5}{12}

+ 2

+ \frac{3}{16}

+ 6

+ \frac{11}{16}

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

\frac{3}{16} + \frac{11}{16}

\frac{3 + 11}{16}

ℹ

7 + 2

9

9

+ \frac{5}{12}

+ \frac{3 + 11}{16}

+ 6

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

3 + 11

14

ℹ

9 + 6

15

15 + \frac{5}{12} + \frac{14}{16}

ℹ

\frac{5}{12} + \frac{14}{16}

\frac{5 \times 4 + 14 \times 3}{12 \times 4}

15 + \frac{5 \times 4 + 14 \times 3}{12 \times 4}

ⓘMultiplications are done before additions and subtractions:

5 \times 4

20

‖

14 \times 3

(10 + 4) \times 3

10 \times 3 + 4 \times 3

30 + 12

42

‖

12 \times 4

(10 + 2) \times 4

10 \times 4 + 2 \times 4

40 + 8

48

15 + \frac{20 + 42}{48}

ℹ

20 + 42

62

15 + \frac{62}{48}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{62}{48}

\frac{31 \times 2}{24 \times 2}

\frac{31}{24}

15 + \frac{31}{24}

ⓘThe fraction

\frac{31}{24}

is greater than 1: add its integer part

1

to the whole part:

\frac{31}{24} + 15

16 + \frac{7}{24}

▶Result:

16

\frac{7}{24}

The approximate value of:

16 + \frac{7}{24}

is:

16 + \approx 0.2917

▷

\approx 16.2917