explain 2 11/16 + 3 4/7 — step-by-step solution

⚠ 2 11/16 is read as the mixed number 2 + 11/16

⚠ 3 4/7 is read as the mixed number 3 + 4/7

Let's calculate:

2

+ \frac{11}{16}

+ 3

+ \frac{4}{7}

ℹ

2 + 3

5

5 + \frac{11}{16} + \frac{4}{7}

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

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

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

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

ⓘMultiplications are done before additions and subtractions:

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

‖

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

16 \times 7

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

5 + \frac{77 + 64}{112}

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

77 + 64

141

5 + \frac{141}{112}

ⓘThe fraction

\frac{141}{112}

is greater than 1: add its integer part

1

to the whole part:

\frac{141}{112} + 5

6 + \frac{29}{112}

▶Result:

6

\frac{29}{112}

The numeric value of:

6 + \frac{29}{112}

equals:

6 + \approx 0.2589

▷

\approx 6.2589