Evaluate 5/8 – 3/4 ÷ 5/12 x 1/4
Evaluate 5/8 – 3/4 ÷ 5/12 × 1/4
Explanation
Step 1: Follow order of operations (BODMAS/PEMDAS)
Division and multiplication from left to right, then subtraction
Expression: 5/8 – 3/4 ÷ 5/12 × 1/4
Step 2: Perform division first
3/4 ÷ 5/12 = 3/4 × 12/5
= (3 × 12)/(4 × 5)
= 36/20
= 9/5
Step 3: Multiply result by 1/4
9/5 × 1/4 = 9/20
Step 4: Subtract from 5/8
5/8 – 9/20
Find LCD of 8 and 20 = 40
= 25/40 – 18/40
= 7/40