explain 23 7/20 + 9 7/15 + 12 2/7 — step-by-step solution

⚠ 23 7/20 is read as the mixed number 23 + 7/20

⚠ 9 7/15 is read as the mixed number 9 + 7/15

Let's evaluate:

23

+ \frac{7}{20}

+ 9

+ \frac{7}{15}

+ 12

+ \frac{2}{7}

ℹ

23 + 9

32

32

+ \frac{7}{20}

+ \frac{7}{15}

+ 12

+ \frac{2}{7}

ℹ

32 + 12

44

44

+ \frac{7}{20}

+ \frac{7}{15}

+ \frac{2}{7}

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

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

\frac{7 \times 3 + 7 \times 4}{20 \times 3}

44 + \frac{7 \times 3 + 7 \times 4}{20 \times 3} + \frac{2}{7}

ⓘMultiplications are done before additions and subtractions:

7 \times 3

21

ℹ

7 \times 4

28

‖

20 \times 3

60

44 + \frac{21 + 28}{60} + \frac{2}{7}

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

21 + 28

49

44 + \frac{49}{60} + \frac{2}{7}

ℹ

\frac{49}{60} + \frac{2}{7}

\frac{49 \times 7 + 2 \times 60}{60 \times 7}

44 + \frac{49 \times 7 + 2 \times 60}{60 \times 7}

ⓘ

49 \times 7

(40 + 9) \times 7

40 \times 7 + 9 \times 7

280 + 63

343

ℹ

2 \times 60

120

‖

60 \times 7

420

44 + \frac{343 + 120}{420}

ℹ

343 + 120

463

44 + \frac{463}{420}

ⓘThe fraction

\frac{463}{420}

is greater than 1: add its integer part

1

to the whole part:

\frac{463}{420} + 44

45 + \frac{43}{420}

▶Result:

45

\frac{43}{420}

The numeric value of:

45 + \frac{43}{420}

is:

45 + \approx 0.1024

▷

\approx 45.1024