Question

simplify 2 1/2+2 1/3-1 1/4​

Answer 1

21/2+21=2 2/3-11/4= 3-11/2=8/2=2

Answer 2

The value of the expression is 43/12

Step-by-step explanation:

Given:

expression is 2 1/2+2 1/3-1 1/4​

To find:

simplify the given expression

Solution:

The expression can be written as $2 \frac{1}{2} + 2\frac{1}{3} -1 \frac{1}{4}$

we get,

$2 \frac{1}{2} + 2\frac{1}{3} -1 \frac{1}{4}$

We convert the mixed fractions into improper fractions

= $\frac{4+1}{2} + 2\frac{1}{3} -1 \frac{1}{4}$

= $\frac{5}{2} + 2\frac{1}{3} -1 \frac{1}{4}$

Similarly converting all the mixed fractions into improper

= $\frac{5}{2} + \frac{6+1}{3} - \frac{4+1}{4}$

= $\frac{5}{2} + \frac{7}{3} - \frac{5}{4}$

Adding the fractions by cross multiplying

= $\frac{5(3)+7(2)}{2(3)} - \frac{5}{4}$

= $\frac{15+14}{6} - \frac{5}{4}$

= $\frac{29}{6} - \frac{5}{4}$

Subtracting the equation by cross multiplication method

= $\frac{29(4)-5(6)}{6(4)}$

= $\frac{116-30}{24}$

= $\frac{86}{24}$

Simplifying by dividing by 2

= $\frac{43}{12}$

∴ 2 1/2+2 1/3-1 1/4​ = 43/12

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