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String A is 3 5/6 meters long. String B is 2 1/4 meters long. What’s the total length of both strings?

User Zzaman
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2 Answers

3 votes
3 5/6 + 2 1/4 = 56/24

Simplified, I think the answer is 2 1/3
User Sijan Gurung
by
8.4k points
1 vote

Answer:

The total length of the two strings is
(73)/(12) meters

Step-by-step explanation:

Before beginning, remember the following:


a(b)/(c)=(ac+b)/(c)

Now, for the given problem:

We are given that:

Length of string A =
3(5)/(6)=(23)/(6) meters

Length of string B =
2(1)/(4)=(9)/(4) meters

To get their sum, we follow these steps:

a. Make the denominator for the two fractions the same

b. Add the numerators

c. Simplify

This is done as follows:

For the given fractions, the common denominator will be 4×6 = 24

Therefore:

String A =
(92)/(24) m and String B =
(54)/(24) m

Now, we add:


(92)/(24)+(54)/(24)=(92+54)/(24)=(146)/(24)

Finally, we simplify:


(146)/(24)=(73)/(12) obtained by dividing both numerator and denominator by 2

Hope this helps :)

User Marilynn
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