Question

subtract-2 6/11 from-4 5/22​

Answer 1

Step-by-step explanation:

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Answer 2

$\frac{37}{22}$ is obtained after performing subtraction between  $-2\frac{6}{11}$ and $-4\frac{5}{22}$.

Given:

Two mixed fractions $-2\frac{6}{11}$ and $-4\frac{5}{22}$.

To Find:

The subtraction between the two fractions.

Solution:

The given fractions are in mixed fractions. To perform any arithmetic operation between them, they are first converted into improper fractions.

So, convert the fractions  $-2\frac{6}{11}$ and $-4\frac{5}{22}$ into improper fractions.

$-2\frac{6}{11}=-(\frac{22+6}{11})\\ =-\frac{28}{11}$

$-4\frac{5}{22}=-(\frac{22\times 4+ 5}{22}) \\=-(\frac{88+5}{22})\\ =-\frac{93}{22}$

Now subtract $-\frac{93}{22}$ from $-\frac{28}{11}$.

$-\frac{28}{11}-(-\frac{93}{22})=-\frac{28}{11}+\frac{93}{22}$

To perform subtraction, the denominator of both the fractions should be the same. The LCM of 11 and 22 is 22.

Make the denominator of both the fractions the same.

$-\frac{28\times 2}{11\times 2}+\frac{93}{22}=-\frac{56}{22}+\frac{93}{22}\\=\frac{-56+93}{22}\\ =\frac{37}{22}$

Thus, $\frac{37}{22}$ is obtained after performing subtraction between  $-2\frac{6}{11}$ and $-4\frac{5}{22}$.