Question

Add the mixed numbers by finding the common denominator. One and one half plus four and four fifths equals blank

A) six and two tenths
B) five and five sevenths
C) five and two tenths
D) six and three tenths

Answer 1

D) six and three tenths

Explanation:

First, convert the mixed numbers into improper fractions.

1 1/2 = 3/2

4 4/5 = 24/5

Now you need t find out the first number that 2 and 5 (the denominators of the improper fraction) go into evenly. In this case, it is 10.

3/2 + 24/5 = x/10 + x/10

In order to find the first numerator (x), you need to find out what times 2 (the first denominator) equals 10 (the other first denominator). In this case, it is 5, so we multiply 5 times 2 (the first denominator). This will give us our new first denominator (the result of 5 x 2).

3/2 + 24/5 = 15/10 + x/10.

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Now we need to find the second denominator, we need to do the same thing.

3/2 + 24/5 = 15/10 + x/10.

What times 5 equals 10? 2! So you are going to multiply 2 x 24, 48. So 48 will be your new numerator (the one currently labeled as x).

3/2 + 24/5 = 15/10 + 48/10

15/10 + 48/10 = 63/10

Now convert 63/10 into a mixed number and you will get six and three tenths (6 3/10).

P.S Sorry if it's confusing I didn't know how to explain it that well with words instead of visually. Also English is not my first language!