Question

The subtraction of rational number (7/11) - (3/7)​

Answer 1

Answer:

16/77

Step-by-step explanation:

7/11 ( - )   3/7

( LCM = 77 )

7/11 *  7/7

49/77

3/7 * 11/11

33/77

49/77 ( - )  33/77

16/77

Answer 2

The subtraction of two rational numbers is $\frac{16}{77}$

Given: Two fractions i.e. $\frac{7}{11}$ and $\frac{3}{7}$

To find: The subtraction of (given).

Step-by-step explanation:

• If $\frac{a}{b}$ and $\frac{c}{d}$ are two rational numbers, subtracting $\frac{c}{d}$ from $\frac{a}{b}$ means adding the additive inverse (negative) of $\frac{c}{d}$ to $\frac{a}{b}$. The result of subtracting $\frac{c}{d}$ from $\frac{a}{b}$ is $\frac{a}{b}$-$\frac{c}{d}$.

⇒ $\frac{7}{11}-\frac{3}{7}$

LCM of 11 and 7 is 77.

∴ $(\frac{7\times7}{11\times7} -\frac{3\times11}{7\times11})$

∴ $(\frac{49}{77}-\frac{33}{77})$

∴ $(\frac{49-33}{77})$

⇒ $\frac{16}{77}$

Therefore, the results of subtraction come down to $\frac{16}{77}$