Question

3 3/8 - 2 1/4 ÷ 1 1/2 - in the simplest form of a fraction

Answer 1

1 7/8

Explanation:

1. First convert mixed fraction to improper fraction.
2. Then do division using KCF method.
3. Then do subtraction.

KCF method.

• Keep the first fraction
• Change division to multiplication
• Flip the second fraction

`\sf 3 (3)/(8)-2(1)/(4) / 1(1)/(2)= (27)/(8)-(9)/(4)/(3)/(2) \\\\`

`\sf = (27)/(8)-(9)/(4)*(2)/(3)\\\\=(27)/(8)-(3)/(2)\\\\=(27)/(8)-(3*4)/(2*4) \ [\text{LCM of 2 and 8 is 8}]\\\\=(27)/(8)-(12)/(8)\\\\=(27-12)/(8)\\\\=(15)/(8)\\\\=1(7)/(8)`