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Calculate the quotient of each expression. Write your answers in lowest terms

Calculate the quotient of each expression. Write your answers in lowest terms-example-1
User Joeeee
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Answer:

1) The quotient is
{1} (1)/(2)

2) The quotient is
(6)/(7) / (7)/(3) =(18)/(49)

3) The quotient is

Explanation:

1) Given
(3)/(7) / (2)/(7)

When dividing whole numbers and fractions, you first change the operation to multiplication and then change the divisor to its reciprocal. The same rule applies to dividing a fraction by another fraction.

ie,
(3)/(7) / (2)/(7) = (3)/(7) * (7)/(2) (multiply the fractions)


(3)/(7) / (2)/(7) =(3)/(2)

Next, simply the fraction.Now Convert the improper fraction into a mixed number
1 \frac{1} {2}

Therefore the quotient is
1(1)/(2)

2) Given
(6)/(7) / 2(1)/(3)

To find
(6)/(7) / 2(1)/(3)

First, write the mixed numbers as improper fractions.

So, the expression becomes


2(1)/(3)= (7)/(3) now the given expression may be written as


(6)/(7) / (7)/(3) = (6)/(7) * (3)/(7) (multiply the fractions)


(6)/(7) / (7)/(3) =(18)/(49)

Next, simply the fraction.Now Convert the improper fraction into a mixed number
1(1)/(2)

Multiply by the reciprocal of 65 , which is 56 .

136÷65=136⋅56

Multiply the numerators and multiply the denominators.

=6536

Write the improper fraction as a mixed number.

=12936

So,

216÷115=12936

User Themistoklik
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