Question

Margaret's bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottling to wash the dog estimate what fraction of the shampoo is left. Use whole numbers and benchmark fractions to explain

Answer 1

Answer:

$\frac{13}{24}$ of the shampoo is left.

Step-by-step explanation:

If Margaret's bottle of shampoo is $\frac{7}{8}$ full, and if she uses $\frac{1}{3}$ of it to wash the dog, then the fraction of shampoo left is

$\frac{7}{8}-\frac{1}{3}$

We subtract these fractions by first finding their common denominator, which is the least common multiple L.C.M of the denominators:

$common\:denominator=L.C.M= 8*3= 24$,

thus, we have

$shampoo \:\: left=\frac{7*3}{8*3}-\frac{1*8}{3*8}=\frac{21}{24}-\frac{8}{24}= \frac{21-8}{24}$

$\boxed{shampoo \:\: left=\frac{13}{24} }$

Answer 2

Answer:

There are 7/12 parts left of shampoo left

Step-by-step explanation:

Fractions

They are represented as divisions, where the numerator and the denominator can always be expressed as an integer. They are called rational numbers

We know Margaret's bottle of shampoo is 7/8 full. The fraction to express the portion of shampoo left it the bottle is

$\displaystyle \frac{7}{8}$

From that portion, she uses 1/3, which means that she took

$\displaystyle \frac{7}{8}\times\frac{1}{3}=\frac{7}{24}$

out of the bottle. The fraction of shampoo remaining in the bottle is the subtraction of

$\displaystyle \frac{7}{8}-\frac{7}{24}$

Let's amplify the first fraction multiplying by 3 in both parts. to have the same denominator as the second one

$\displaystyle \frac{21}{24}-\frac{7}{24}$

Subtracting

$\displaystyle \frac{14}{24}$

Simplifying  by 2

$\displaystyle \frac{7}{12}$

There are 7/12 parts left of shampoo