Question

(4/7-3/2)×(1/13-1/4)=​

Answer 1

Ответ:

Объяснение:

4/7-3/2=8/14-21/14=-13/14

1/13-1/4=4/52-13/52=-9/52

-13/14*(-9/52)=18/7=2 4/7

Answer 2

To solve this expression, follow these steps:

1. Simplify each fraction.
2. Perform the arithmetic operations.
3. Multiply the resulting fractions.

Given expression: $\left(\frac{4}{7} - \frac{3}{2}\right) \times \left(\frac{1}{13} - \frac{1}{4}\right)$

Step 1: Simplify the fractions

• $\frac{4}{7}$ cannot be simplified further.
• $\frac{3}{2}$ can be simplified to $\frac{6}{4}$, which is also equal to $1\frac{1}{2}$.
• $\frac{1}{13}$ cannot be simplified further.
• $\frac{1}{4}$ can be simplified to $\frac{2}{8}$, which reduces to $\frac{1}{4}$.

Step 2: Subtract the fractions within each parenthesis

• $\frac{4}{7} - \frac{6}{4} = \frac{4}{7} - \frac{3}{2}$ To subtract fractions with different denominators, you need to find a common denominator. The least common multiple (LCM) of 7 and 2 is 14. $\frac{4}{7} - \frac{3}{2} = \frac{8}{14} - \frac{21}{14} = -\frac{13}{14}$

• $\frac{1}{13} - \frac{1}{4}$ Again, find the common denominator, which is 52. $\frac{1}{13} - \frac{1}{4} = \frac{4}{52} - \frac{13}{52} = -\frac{9}{52}$

Step 3: Multiply the results from Step 2 $\left(-\frac{13}{14}\right) \times \left(-\frac{9}{52}\right)$ When you multiply fractions, you multiply the numerators together and the denominators together. $\left(-\frac{13}{14}\right) \times \left(-\frac{9}{52}\right) = \frac{117}{728}$

So, $\left(\frac{4}{7} - \frac{3}{2}\right) \times \left(\frac{1}{13} - \frac{1}{4}\right) = \frac{117}{728}$.