Question

subtract the sum of -5/7 and 5/14 from the sum of 3/14 and -2/7​

Answer 1

Answer:4/14

Step-by-step explanation:

1. The question implies... (Sum of 3/14 and -2/7) - (Sum of -5/7 and 5/14)

2. Sum the fractions in the two brackets by LCM

3. Then subtract the answers you get from the sum of those fractions also by LCM.

Answer 2

Concept: The process of subtracting one number from another is known as subtraction. It's a basic arithmetic operation that's represented by a minus sign (-) and is used to calculate the difference between two numbers.

Given: fractions $\frac{-5}{7} , \frac{5}{14} , \frac{3}{14} , \frac{-2}{7}$

To find: sum of $\frac{-5}{7}$ and $\frac{5}{14}$

             sum of $\frac{3}{14}$ and $\frac{-2}{7}$

             difference between the sum of $\frac{-5}{7}$ and $\frac{5}{14}$ and $\frac{3}{14}$ and $\frac{-2}{7}$

Solution: First we need to find the sum of $\frac{-5}{7}$ and $\frac{5}{14}$

$\frac{-5}{7} + \frac{5}{14}$

LCM of the denominators will be 14

$\frac{-10+5}{14}$

$\frac{-5}{14}$      ( since in addition, a negative integer and a positive integer results in subtraction, and the sign of the greater number is put)

Now we will find the sum of $\frac{3}{14}$ and $\frac{-2}{7}$

$\frac{3}{14} + \frac{-2}{7}$

LCM of the denominators will be 14

$\frac{3-4}{14}$

$\frac{-1}{14}$       ( since in addition, a negative integer and a positive integer results in subtraction, and the sign of the greater number is put)

Last step is to subtract $\frac{-1}{14} - \frac{-5}{14}$

As the denominators are already same we do not need to take the LCM of the denominators here

$\frac{-1 + 5}{14}$          (Since a negative and a negative becomes positive)

$\frac{4}{14}$          ( since in addition, a negative integer and a positive integer results in subtraction, and the sign of the greater number is put)

We can reduce $\frac{4}{14}$ to $\frac{2}{7}$.

Hence, the answer is $\frac{2}{7}$.

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