Answer:
1) The quotient is [tex]{1} \frac{1}{2} [/tex]
2) The quotient is [tex] \frac{6}{7} \div \frac{7}{3} =\frac{18}{49}[/tex]
3) The quotient is
Step-by-step explanation:
1) Given [tex] \frac{3}{7} \div \frac{2}{7} [/tex]
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, [tex] \frac{3}{7} \div \frac{2}{7} = \frac{3}{7} \times \frac{7}{2}[/tex] (multiply the fractions)
[tex]\frac{3}{7} \div \frac{2}{7} =\frac{3}{2}[/tex]
Next, simply the fraction.Now Convert the improper fraction into a mixed number [tex]1 \frac{1} {2}[/tex]
Therefore the quotient is [tex]1\frac{1}{2}[/tex]
2) Given [tex] \frac{6}{7} \div 2\frac{1}{3}[/tex]
To find [tex] \frac{6}{7} \div 2\frac{1}{3}[/tex]
First, write the mixed numbers as improper fractions.
So, the expression becomes
[tex]2\frac{1}{3}= \frac{7}{3}[/tex] now the given expression may be written as
[tex] \frac{6}{7} \div \frac{7}{3} = \frac{6}{7} \times \frac{3}{7} [/tex] (multiply the fractions)
[tex] \frac{6}{7} \div \frac{7}{3} =\frac{18}{49}[/tex]
Next, simply the fraction.Now Convert the improper fraction into a mixed number [tex]1\frac{1}{2}[/tex]
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
