Question

8 17/20-(4 17/30+ 1 14/15)=​

Answer 1

Ответ:

2 7/20

Пошаговое объяснение:

8 17/20 - (4 17/30 + 1 14/15) = 2 7/20

1) 4 17/30 + 1 14/15 = 4 17/30 + 1 28/30 =5 45/30 = 6 15/30 = 6 1/2

2) 8 17/20 - 6 1/2 = 8 17/20 - 6 10/20 = 2 7/20

Answer 2

To solve this expression, you should start by simplifying the terms within the parentheses and then performing the operations.

First, simplify the expressions within the parentheses:

1. $4\frac{17}{30} = \frac{4 \cdot 30 + 17}{30} = \frac{120 + 17}{30} = \frac{137}{30}$
2. $1\frac{14}{15} = \frac{1 \cdot 15 + 14}{15} = \frac{15 + 14}{15} = \frac{29}{15}$

Now, your expression becomes:

$8\frac{17}{20} - \left(\frac{137}{30} + \frac{29}{15}\right)$

Next, add the fractions inside the parentheses:

$\frac{137}{30} + \frac{29}{15}$

To add these fractions, you need a common denominator. The common denominator for 30 and 15 is 30. So, rewrite the fractions with a common denominator:

$\frac{137}{30} + \frac{2 \cdot 29}{2 \cdot 15} = \frac{137}{30} + \frac{58}{30}$

Now that the fractions have a common denominator, you can add them:

$\frac{137 + 58}{30} = \frac{195}{30}$

Now, simplify the fraction:

$\frac{195}{30} = \frac{15 \cdot 13}{15 \cdot 2} = \frac{13}{2}$

Now, substitute this back into your original expression:

$8\frac{17}{20} - \frac{13}{2}$

To subtract the mixed number $\frac{13}{2}$ from the mixed number $8\frac{17}{20}$, you can convert both to improper fractions and then subtract:

$8\frac{17}{20} = \frac{8 \cdot 20 + 17}{20} = \frac{160 + 17}{20} = \frac{177}{20}$

Now, subtract:

$\frac{177}{20} - \frac{13}{2}$

To subtract fractions, you need a common denominator, which in this case is 20:

$\frac{177}{20} - \frac{13 \cdot 10}{2 \cdot 10} = \frac{177}{20} - \frac{130}{20}$

Now, you can subtract:

$\frac{177 - 130}{20} = \frac{47}{20}$

So, the final answer is $\frac{47}{20}$.