5[tex]5\frac{3}{8} +3\frac{5}{7} +1\frac{2}{5} +4\frac{5}{8}[/tex]

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вопрос

To add these mixed numbers, we first need to convert them to improper fractions:

5 3/8 = (8 x 5 + 3) / 8 = 43 / 8
3 5/7 = (7 x 3 + 5) / 7 = 26 / 7
1 2/5 = (5 x 1 + 2) / 5 = 7 / 5
4 5/8 = (8 x 4 + 5) / 8 = 37 / 8

Now we add the fractions:

43 / 8 + 26 / 7 + 7 / 5 + 37 / 8

To add these fractions, we need a common denominator. The least common multiple of 8, 7, and 5 is 280.

Now we convert each fraction to have a denominator of 280:

43 / 8 = 43 x 35 / 8 x 35 = 1505 / 280
26 / 7 = 26 x 40 / 7 x 40 = 1040 / 280
7 / 5 = 7 x 56 / 5 x 56 = 392 / 280
37 / 8 = 37 x 35 / 8 x 35 = 1295 / 280

Add these fractions:

1505 / 280 + 1040 / 280 + 392 / 280 + 1295 / 280
= (1505 + 1040 + 392 + 1295) / 280
= 4232 / 280

Now simplify the fraction:

4232 / 280 = 15 32/280

Therefore, the sum of the mixed numbers is:

5 3/8 + 3 5/7 + 1 2/5 + 4 5/8 = 15 32/280 or simply as 15 8/35.