Simplify the following.

\(7\frac{1}{2} \div \left\{ {4\frac{1}{4}} \right. - \frac{1}{2} \times \left. {\left( {2\frac{1}{2} - 1\frac{1}{4} - \frac{3}{4}} \right)} \right\}\)

This question was previously asked in

IB ACIO Grade II Previous Paper 9 (Held on: 19 Feb 2021 Shift 2)

Option 3 : 1.875

हिंदी साहित्य

8509

15 Questions
30 Marks
9 Mins

**Concept used:**

**Calculation:**

\(7\frac{1}{2} ÷ \left\{ {4\frac{1}{4}} \right. - \frac{1}{2} × \left. {\left( {2\frac{1}{2} - 1\frac{1}{4} - \frac{3}{4}} \right)} \right\}\)

Let us convert all the mixed fractions into improper fractions. Then, the question will look like:

15/2 ÷ {17/4 - 1/2 × (5/2 - 5/4 - 3/4)}

⇒ 15/2 ÷ {17/4 - 1/2 × 1/2}

⇒ 15/2 ÷ {17/4 - 1/4}

⇒ 15/2 ÷ 4

⇒ 15/2 × 1/4 = 15/8 = 1.875

**∴ 1.875**