Question

Please solve this question with steps

Answer 1

Question:-

Simplify :

$2 \frac{1}{4} + 5 \frac{5}{8} \times 1 \frac{1}{3} - 1 \frac{3}{4} \div 1 \frac{1}{2}$

Solution:-

We have to solve it using BODMAS,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

It means we have to solve the given question using above listed steps.

First step is to solve the expression in bracket,

Then, of [it is used to multiply two expressions] will be solved.

After that Division, Multiplication, Addition and last Subtraction will be solved.

Now, Solving it.

$2 \frac{1}{4} + 5 \frac{5}{8} \times 1 \frac{1}{3} - 1 \frac{3}{4} \div 1 \frac{1}{2} \\ \\ = \frac{9}{4} + \frac{45}{8} \times \frac{4}{3} - \frac{7}{4} \div \frac{3}{2} \\ \\ = \frac{9}{4} + \frac{45}{8} \times \frac{4}{3} - \frac{7}{4} \times \frac{2}{3} \\ \\ = \frac{9}{4} + \frac{45}{6} - \frac{7}{6} \\ \\ = \frac{9 \times 3 + 45 \times 2}{12} - \frac{7}{6} \\ \\ = \frac{27 + 90}{12} - \frac{7}{6} \\ \\ = \frac{117}{12} - \frac{7}{6} \\ \\ = \frac{117 - 7 \times 2}{12} \\ \\ = \frac{117 - 14}{12} \\ \\ = \frac{103}{12}$

Answer:-

The answer is 103/ 12.