7 1/16 + 2 13/15 + 23 3/5

⚠ 7 1/16 is read as the mixed number 7 + 1/16■2 13/15 is read as the mixed number 2 + 13/15■23 3/5 is read as the mixed number 23 + 3/5

Let's calculate:

7

+ \frac{1}{16}

+ 2

+ \frac{13}{15}

+ 23

+ \frac{3}{5}

ⓘ Start from

7

and move forward

2

on the number line:

7 + 2

9

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

\frac{13}{15} + \frac{3}{5}

\frac{13 + 3 \times 3}{15}

9

+ \frac{1}{16}

+ \frac{13 + 3 \times 3}{15}

+ 23

ⓘ Multiplications are done before additions and subtractions:

3 \times 3

9

■Start from

9

and move forward

23

on the number line:

9 + 23

32

32 + \frac{1}{16} + \frac{13 + 9}{15}

ⓘ Calculate the numerator and denominator before dividing:

13 + 9

22

32 + \frac{1}{16} + \frac{22}{15}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

240

, the least common multiple of

16

and

15

. Multiplying the numerator and the denominator by the same number does not change the fraction:

\frac{1}{16} + \frac{22}{15}

\frac{1 \times 15}{16 \times 15} + \frac{22 \times 16}{15 \times 16}

\frac{1 \times 15 + 22 \times 16}{16 \times 15}

\frac{15 + 22 \times 16}{16 \times 15}

32 + \frac{15 + 22 \times 16}{16 \times 15}

ⓘ Multiplications are done before additions and subtractions:

22 \times 16

22 \times (10 + 6)

22 \times 10 + 22 \times 6

220 + 132

352

ⅰ

16 \times 15

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

32 + \frac{15 + 352}{240}

ⓘ Calculate the numerator and denominator before dividing:

15 + 352

367

32 + \frac{367}{240}

▶Result:

33

\frac{127}{240}

ⓘ Since the fraction

\frac{367}{240}

exceeds 1, take

1

out of it and add it to the whole part:

32 + \frac{367}{240}

32 + \frac{240 + 127}{240}

32 + \frac{240}{240} + \frac{127}{240}

32 + 1 + \frac{127}{240}

33 + \frac{127}{240}

The numeric value of:

33 + \frac{127}{240}

is:

33 + \approx 0.5292

▷

\approx 33.5292

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