Answer :
To solve
[tex]$$
\frac{13}{15} \div \frac{7}{10},
$$[/tex]
follow these steps:
1. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. In other words,
[tex]$$
\frac{13}{15} \div \frac{7}{10} = \frac{13}{15} \times \frac{10}{7}.
$$[/tex]
2. Multiply the numerators and the denominators:
[tex]$$
\frac{13 \times 10}{15 \times 7} = \frac{130}{105}.
$$[/tex]
3. Simplify the fraction by finding the greatest common divisor (GCD) of 130 and 105. The GCD of 130 and 105 is 5. Divide both the numerator and the denominator by 5:
[tex]$$
\frac{130 \div 5}{105 \div 5} = \frac{26}{21}.
$$[/tex]
Thus, the answer in simplest form is:
[tex]$$
\frac{26}{21}.
$$[/tex]
[tex]$$
\frac{13}{15} \div \frac{7}{10},
$$[/tex]
follow these steps:
1. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. In other words,
[tex]$$
\frac{13}{15} \div \frac{7}{10} = \frac{13}{15} \times \frac{10}{7}.
$$[/tex]
2. Multiply the numerators and the denominators:
[tex]$$
\frac{13 \times 10}{15 \times 7} = \frac{130}{105}.
$$[/tex]
3. Simplify the fraction by finding the greatest common divisor (GCD) of 130 and 105. The GCD of 130 and 105 is 5. Divide both the numerator and the denominator by 5:
[tex]$$
\frac{130 \div 5}{105 \div 5} = \frac{26}{21}.
$$[/tex]
Thus, the answer in simplest form is:
[tex]$$
\frac{26}{21}.
$$[/tex]
