Question

Tim's bean sprout grew 3/ inches. Teegan's bean sprout grew 2 3/4 inches. How many more inches did Tim's bean sprout grow than Teegan's? First, estimate the difference mentally and explain your reasoning. Then find the actual difference.

Answer 1

Tim's bean sprout grow by more than
`(5)/(8) \text{ inches}`.

Explanation:

We are given that Tim's bean sprout grew 3 3/8 inches. Teegan's bean sprout grew 2 3/4 inches.

We have to find how many more inches did Tim's bean sprout grow than Teegan's.

Firstly, converting both the mixed fractions in improper fraction get;

Tim's bean sprout grew =
`3(3)/(8)` =
`(27)/(8) \text{ inches}`

Teegan's bean sprout grew =
`2(3)/(4)` =
`(11)/(4) \text{ inches}`

Since the denominator of both the fractions is not the same, so we can't compare them both as which is larger or smaller.

Tim's bean sprout grew =
`(27* 1)/(8* 1) = (27)/(8) \text{ inches}`

Teegan's bean sprout grew =
`(11 * 2)/(4* 2)=(22)/(8) \text{ inches}`

Now, we can clearly see that Tim's bean sprout grew more than Teegan's bean sprout.

So, Tim's bean sprout grow by more than =
`(27)/(8)- (22)/(8)` =
`(5)/(8) \text{ inches}`

Hence, Tim's bean sprout grow by more than
`(5)/(8) \text{ inches}`.