Question

If there are 12 blocks, each with a thickness of 3434 of an inch; the blocks have a combined thickness of 8 inches.

True

False

Answer 1

Okay so for this, visualize the blocks are stacked on top of each other. Each block is 3/4 of an inch thick so all you have to is multiply 3/4 by 12. So:


`(3)/(4)` ×
`(12)/(1)` =
`(36)/(4)`

However, the fraction 36/4 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 4: 1, 2, 4

4 is the largest factor of both 36 and 4, so we need to divide both the numerator and denominator by 4.

Numerator: 36 ÷ 4 = 9

Denominator: 4 ÷ 4 = 1

Write the new fraction: 9/1 = 9

So this is FALSE.

Hope this helps :)