18 1/8- 9 2/3

Question

Need help it seems easy but became difficult

Answer 1

18 1/8 - 9 2/3

 

We have two mixed numerals...  First we turn them

into improper fractions...

 

We do this by multiplying the denominator of the fraction

by the whole number... add the product to the numerator...

place the sum over the denominator...

a b/c = [c(a)+b]/c

 

18 1/8 = (8(18)+1)/8 = 145/8

9 2/3 = (3(9)+2)/3 = 29/3

 

18 1/8 - 9 2/3 = 145/8 - 29/3

 

We need a common denominator so we need to find the

least common multiple of 8 and 3  (the smallest number

that 8 and 3 will both divide into).  That is 24. 

 

Multiply (145/8)(3/3)   and  (29/3)(8/8) to get a common

denominator of 24

 

(145/8)(3/3) = 435/24

(29/3)(8/8) = 232/24

 

145/8 - 29/3 = 435/24 - 232/24 = (435-232)/24 = 203/24

 

To turn this improper fraction into a mixed number divide 203 by 24

= 8 with a remainder of 11

 

203/24 = 8 11/24