explain 3 5/12 + 1 5/8 — step-by-step solution

⚠ 3 5/12 is read as the mixed number 3 + 5/12

⚠ 1 5/8 is read as the mixed number 1 + 5/8

Let's evaluate:

3

+ \frac{5}{12}

+ 1

+ \frac{5}{8}

ℹ

3 + 1

4

4 + \frac{5}{12} + \frac{5}{8}

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

\frac{5}{12} + \frac{5}{8}

\frac{5 \times 2 + 5 \times 3}{12 \times 2}

4 + \frac{5 \times 2 + 5 \times 3}{12 \times 2}

ⓘMultiplications are done before additions and subtractions:

5 \times 2

10

‖

12 \times 2

(10 + 2) \times 2

10 \times 2 + 2 \times 2

20 + 4

24

ℹ

5 \times 3

15

4 + \frac{10 + 15}{24}

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

10 + 15

25

4 + \frac{25}{24}

ⓘThe fraction

\frac{25}{24}

is greater than 1: add its integer part

1

to the whole part:

\frac{25}{24} + 4

5 + \frac{1}{24}

▶Result:

5

\frac{1}{24}

The approximate value of:

5 + \frac{1}{24}

equals:

5 + \approx 4.1667 \times 10^{- 2}

▷

\approx 5.0417