Question

1) (8 7/25-5 19/35)+18/25 2) 5 5/44+(8/13-2 5/44)​

Answer 1

Ответ:

Пошаговое объяснение:

1) (8 7/25-5 19/35)+18/25=3 16/35

8 7/25+18/25=9

9-5 19/35=3 16/35

2) 5 5/44+(8/13-2 5/44)

5 5/44-2 5/44=3

3+8/13=3 8/13

Answer 2

Let's solve each of these expressions step by step.

1. $\left(8 \frac{7}{25} - 5 \frac{19}{35}\right) + \frac{18}{25}$

First, simplify each of the mixed numbers by finding a common denominator:

$8 \frac{7}{25} = \frac{8 \cdot 25}{25} + \frac{7}{25} = \frac{200}{25} + \frac{7}{25} = \frac{207}{25}$

$5 \frac{19}{35} = \frac{5 \cdot 35}{35} + \frac{19}{35} = \frac{175}{35} + \frac{19}{35} = \frac{194}{35}$

Now, we can substitute these values back into the expression and simplify:

$\left(\frac{207}{25} - \frac{194}{35}\right) + \frac{18}{25}$

To add or subtract fractions, they need a common denominator. In this case, the common denominator is 175 (25 and 35 share 175 as a common multiple). So, we need to rewrite the fractions with a denominator of 175:

$\left(\frac{207 \cdot 7}{25 \cdot 7} - \frac{194 \cdot 5}{35 \cdot 5}\right) + \frac{18 \cdot 7}{25 \cdot 7}$

Now, we can perform the subtraction:

$\left(\frac{1449}{175} - \frac{970}{175}\right) + \frac{126}{175}$

Now, subtract the fractions:

$\frac{1449 - 970}{175} + \frac{126}{175}$

$\frac{479}{175} + \frac{126}{175}$

Now, add the fractions:

$\frac{479 + 126}{175}$

$\frac{605}{175}$

To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 5:

$\frac{605 ÷ 5}{175 ÷ 5}$

$\frac{121}{35}$

So, $\left(8 \frac{7}{25} - 5 \frac{19}{35}\right) + \frac{18}{25} = \frac{121}{35}$

Now, let's move on to the second expression:

2. $5 \frac{5}{44} + \left(\frac{8}{13} - 2 \frac{5}{44}\right)$

First, simplify each of the mixed numbers:

$5 \frac{5}{44} = \frac{5 \cdot 44}{44} + \frac{5}{44} = \frac{220}{44} + \frac{5}{44} = \frac{225}{44}$

$2 \frac{5}{44} = \frac{2 \cdot 44}{44} + \frac{5}{44} = \frac{88}{44} + \frac{5}{44} = \frac{93}{44}$