Question

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

Answer 1

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

Simplified, I think the answer is 2 1/3

Answer 2

Answer:

The total length of the two strings is $\frac{73}{12}$ meters

Explanation:

Before beginning, remember the following:

$a\frac{b}{c}=\frac{ac+b}{c}$

Now, for the given problem:

We are given that:

Length of string A = $3\frac{5}{6}=\frac{23}{6}$ meters

Length of string B = $2\frac{1}{4}=\frac{9}{4}$ 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 = $\frac{92}{24}$ m and String B = $\frac{54}{24}$ m

Now, we add:

$\frac{92}{24}+\frac{54}{24}=\frac{92+54}{24}=\frac{146}{24}$

Finally, we simplify:

$\frac{146}{24}=\frac{73}{12}$ obtained by dividing both numerator and denominator by 2

Hope this helps :)