Question

Half of a quarter of a number is 3/4 .Find the number.

Answer 1

`\huge\boxed{6}`

Step-by-step explanation:

`half=(1)/(2)\\\\quarter=(1)/(4)\\\\half\ of\ a\ quarter=(1)/(2)\cdot(1)/(4)=(1\cdot1)/(2\cdot4)=(1)/(8)\\\\\text{Let}\ n-\text{number}\\\\\text{The equation:}\\\\(1)/(8)n=(3)/(4)\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup\cdot(1)/(8\!\!\!\!\diagup)n=8\cdot(3)/(4)\\\\n=(24)/(4)\\\\n=6`

Answer 2

Answer: 6

Step-by-step explanation:

Half of a quarter = 1/2 x 1/4 = 1/8

Let a be the number that half of a quarter of that number is 3/4

1/8 x a = 3/4
a = 3/4 x 8/1
a = 24/4
a = 6