explain 2 3/4 + 9 7/10 + 4 5/7 — step-by-step solution

⚠ 2 3/4 is read as the mixed number 2 + 3/4

⚠ 9 7/10 is read as the mixed number 9 + 7/10

Let's evaluate:

2

+ \frac{3}{4}

+ 9

+ \frac{7}{10}

+ 4

+ \frac{5}{7}

ℹ

2 + 9

11

11

+ \frac{3}{4}

+ \frac{7}{10}

+ 4

+ \frac{5}{7}

ℹ

11 + 4

15

15

+ \frac{3}{4}

+ \frac{7}{10}

+ \frac{5}{7}

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

\frac{3}{4} + \frac{7}{10}

\frac{3 \times 5 + 7 \times 2}{4 \times 5}

15 + \frac{3 \times 5 + 7 \times 2}{4 \times 5} + \frac{5}{7}

ⓘMultiplications are done before additions and subtractions:

3 \times 5

15

ℹ

7 \times 2

14

‖

4 \times 5

20

15 + \frac{15 + 14}{20} + \frac{5}{7}

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

15 + 14

29

15 + \frac{29}{20} + \frac{5}{7}

ℹ

\frac{29}{20} + \frac{5}{7}

\frac{29 \times 7 + 5 \times 20}{20 \times 7}

15 + \frac{29 \times 7 + 5 \times 20}{20 \times 7}

ⓘ

29 \times 7

(20 + 9) \times 7

20 \times 7 + 9 \times 7

140 + 63

203

ℹ

5 \times 20

100

‖

20 \times 7

140

15 + \frac{203 + 100}{140}

ℹ

203 + 100

303

15 + \frac{303}{140}

ⓘThe fraction

\frac{303}{140}

is greater than 1: add its integer part

2

to the whole part:

\frac{303}{140} + 15

17 + \frac{23}{140}

▶Result:

17

\frac{23}{140}

The approximate value of:

17 + \frac{23}{140}

equals:

17 + \approx 0.1643

▷

\approx 17.1643