Question

(8 7/25 - 5 19/35)+18/25​

Answer 1

Ответ:

−10.628571.

Объяснение:

−10.628571

Answer 2

To solve this expression, we'll first convert the mixed numbers to improper fractions and then perform the addition. Here's the step-by-step process:

1. Convert the mixed numbers to improper fractions:

   • $8 \frac{7}{25} = \frac{8 \cdot 25 + 7}{25} = \frac{207}{25}$
   • $5 \frac{19}{35} = \frac{5 \cdot 35 + 19}{35} = \frac{204}{35}$

2. Add the improper fractions:

   • $\frac{207}{25} - \frac{204}{35} + \frac{18}{25}$

Before we can add the fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 25 and 35 is 175. Let's rewrite the fractions with the common denominator:

• $\frac{207}{25} = \frac{207 \cdot 7}{25 \cdot 7} = \frac{1449}{175}$
• $\frac{204}{35} = \frac{204 \cdot 5}{35 \cdot 5} = \frac{1020}{175}$
• $\frac{18}{25}$

Now, we can add the fractions:

$\frac{1449}{175} - \frac{1020}{175} + \frac{18}{25} = \frac{1449 - 1020}{175} + \frac{18}{25} = \frac{429}{175} + \frac{18}{25}$

To add these fractions, we need to find a common denominator, which is $175 \cdot 25 = 4375$:

• $\frac{429}{175} = \frac{429 \cdot 25}{175 \cdot 25} = \frac{10725}{4375}$
• $\frac{18}{25} = \frac{18 \cdot 175}{25 \cdot 175} = \frac{3150}{4375}$

Now, we can add the fractions:

$\frac{10725}{4375} + \frac{3150}{4375} = \frac{10725 + 3150}{4375} = \frac{13875}{4375}$

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 375:

$\frac{13875}{4375} = \frac{13875 \div 375}{4375 \div 375} = \frac{37}{11}$

So, the result of the expression is $3 \frac{4}{11}$.