Question

2 1/7•(2 1/3+2 2/15)-8,8

Answer 1

$\displaystyle \tt 2\frac{1}{7}\cdot\bigg(2 \frac{1}{3}+2 \frac{2}{15}\bigg)-8,8= \frac{27}{35};\\\\\\1). \ \ 2 \frac{1}{3}+2 \frac{2}{15}=2 \frac{5}{15}+2 \frac{2}{15}=4\frac{7}{15}\\\\\\2). \ \ 2\frac{1}{7}\cdot4 \frac{7}{15}= \frac{15}{7}\cdot \frac{67}{15}= \frac{67}{7}\\ \\\\3). \ \ \frac{67}{7}-8,8= \frac{67}{7}- \frac{88}{10}= \frac{670-616}{70}= \frac{54}{70}= \frac{27}{35};$

Answer 2

To simplify the expression 2 1/7 * (2 1/3 + 2 2/15) - 8.8, follow these steps:

Step 1: Convert mixed numbers to improper fractions. 2 1/7 = 15/7 2 1/3 = 7/3 2 2/15 = 32/15

Step 2: Perform the operations inside the parentheses. (15/7) * (7/3 + 32/15) - 8.8

Step 3: Add the fractions inside the parentheses. (15/7) * (105/15 + 32/15) - 8.8

Step 4: Find a common denominator (15) and add the fractions inside the parentheses. (15/7) * (137/15) - 8.8

Step 5: Multiply the fractions. (2055/105) - 8.8

Step 6: Simplify the fraction. (41/21) - 8.8

Step 7: Convert 8.8 to a fraction with a common denominator of 21. (41/21) - (88/10)

Step 8: Find a common denominator (21) and subtract the fractions. (41/21) - (184/21)

Step 9: Subtract the fractions. (41 - 184)/21

Step 10: Simplify the numerator. (-143/21)

So, the simplified expression is -143/21, which can also be expressed as a mixed number: -6 11/21.