Question

Answer plzz....solve n send me plz.​

Answer 1

Answer: $\frac{31}{12}$

Step-by-step explanation:

We have the following expression:

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

As we can see, the second and the third term are mixed fractions, which are a combination of an integer and a fraction, and to convert it into an improper fraction and be able to solve the expression more easily, we must do the following:  

Mixed fraction: $a\frac{b}{c}$

Converting Mixed fraction to improper fraction: $\frac{(a)(c)+b}{c}$

So, for both mixed fractions we have:

$2\frac{2}{3}=\frac{8}{3}$

$1\frac{1}{4}=\frac{5}{4}$

Then the expression is rewritten as:

$4-\frac{8}{3}+\frac{5}{4}$

Calculating the least common multiple (l.c.m) with the denominators, being the l.c.m=12:

$\frac{48-32+15}{12}$

Solving:

$\frac{31}{12}$

Hence:

$4-2\frac{2}{3}+1\frac{1}{4}=\frac{31}{12}$