Question

Add the fractions:3/5+5/8+7/10​

Answer 1

Answer:

The sum of the given fractions is $\frac{77}{40}$

Step-by-step explanation:

From the given question, we can understand that the 3 fractions are proper fractions with different denominators.

Thus, to add the fractions, we need to get all the fractions to have a common denominator. To do this, we first find the LCM of the denominators, and multiply the fraction (the numerator and denominator, individually) with the factor to get a new fraction with the LCM as the denominator, and then, add the numerators.

Given - 3 fractions - $\frac{3}{5} , \frac{5}{8} , \frac{7}{10}$

To find - the sum of the fractions

Solution - The LCM of 5, 8, and 10 is 40. Now, we need to convert the given fractions into their equivalents with 40 as their denominators.

Thus, the fractions can be converted as follows -

$\frac{3}{5} \times \frac{8}{8} = \frac{24}{40}\\\\\frac{5}{8} \times \frac{5}{5} = \frac{25}{40}\\\\\frac{7}{10} \times \frac{4}{4} = \frac{28}{40}$

Now, we can add the converted form of the fractions by simply adding their numerators, as follows -

$\frac{24}{40} + \frac{25}{40} + \frac{28}{40} = \frac{77}{40}$

#SPJ2

Answer 2

Answer:

77/40

Step-by-step explanation:

Given:- the three given fractions are 3/5, 5/8 and 7/10

To Find:- Sum of the given fractions.

Solution:-

In mathematics, a fraction is a numerical quantity which is not a whole number. It has two parts i.e. the number present above the bar is known as numerator where the number below the bar is called denominator.

Steps to add fractions are:

( 1 ) We need to make sure that the denominators are same.

Here, we will multiply 3/5 with 8/8, so the fraction becomes 24/40.

Next we will multiply 5/8 by 5/5, so the fraction becomes 25/40,

lastly we will multiply 7/10 with 4/4 which results to 28/40

( 2 ) Now we will sum all the numerators.

Adding all the numerators results to ( 24 + 25 + 28) = 77.

So the fraction becomes 77/40.

( 3 ) Simplify the fraction.

77/40 is the simplified form.

Therefore, 3/5 + 5/8 + 7/10 = 77/40.

#SPJ2