Question

Simplify 8-7/3*3-2/11*11/71

Answer 1

Answer:

$\large\boxed{\frac{69}{71} }$

Step-by-step explanation:

To solve this problem, first you have to add, subtract, multiply, and divide fractions from left to right. You can also used order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) the numbers from left to right.

Given:

$\displaystyle 8-\frac{7}{3}*3-\frac{2}{11}*\frac{11}{71}$

Solution:

First, multiply by a fraction from left to right.

$\displaystyle \frac{7*3}{3}=\frac{21}{3}=7$

$\displaystyle \frac{2}{11}*\frac{11}{71}=\frac{2}{71}$

$\displaystyle 8-7-\frac{2}{71}$

Next, subtract the numbers from left to right.

$\displaystyle 8-7=1$

$\displaystyle -\frac{2}{71}+1$

Then, you have to convert by the fraction.

$\displaystyle \frac{1*71}{71}-\frac{2}{71}$

Solve.

$\displaystyle 1*71=71-2=\boxed{69}$

$\large\boxed{\frac{69}{71} }$

In conclusion, the final answer is 69/71.