Find the sum of the two fractions show your work 3/8 and 1/2

7/8

Step-by-step explanation: Notice that 1/2 and 3/8 are unlike fractions. Our first when adding unlike fractions is to get a common denominator.

The common denominator of 2 and 8 will be the least common multiple of 2 and 8 which is 8.

To get an 8 in the denominator of 1/2, we multiply the numerator and the denominator by 4 which gives us 4/8.

Notice that 3/8 already has an 8 in the denominator so we leave it how it is.

Now we are adding like fractions.

To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.

So here, if we add the numerators we have 4 + 3 which gives us 7 and we put this over our original denominator which is 8 and we have our answer. Also, notice that 7/8 is in lowest terms so it's our final answer.

This means that 3/8 + 1/2 = 7/8

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: