asked 131k views
2 votes
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.

asked
User Linan
by
8.2k points

1 Answer

3 votes

Answer:

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}.

answered
User Andrewsi
by
9.5k points
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