Question

Subtract: 5/3 - 23/6

Answer 1

Answer:

taking 6 as l.c.m

10-23/6 = -13/6

Answer 2

The value of the expression is -13/6

Step-by-step explanation:

Given:

the two terms are 5/3 & -23/6

To find:

subtract

Solution:

5/3 - 23/6

As the terms are two fractions, to subtract these terms we will need equal denominators

But here the denominators are not equal

So we use the cross multiplication method to solve the operation

$\frac{5}{3}-\frac{23}{6}$

$= \frac{5(6)- 23 (3)}{3(6)}$

$= \frac{(30- 69)}{18}$

$= \frac{-39}{18}$

$= -\frac{13}{6}$

∴ $\frac{5}{3}-\frac{23}{6} = -\frac{13}{6}$

This can be solved by the LCM method also

As the denominators are not equal we make them equal as

$\frac{5}{3}-\frac{23}{6}$

$= \frac{5 (2)}{3(2)}-\frac{23}{6}$

$=\frac{10}{6}-\frac{23}{6}$

$=\frac{10-23}{6}$

$=-\frac{13}{6}$

Thus, both the methods give the answer as -13/6

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