divide. write your answer in simplest form.\n$\frac{13}{15}div\frac{7}{10}$
divide. write your answer in simplest form.\n$\frac{13}{15}div\frac{7}{10}$
Answer
Explanation:
Step1: Change division to multiplication
Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{13}{15}\div\frac{7}{10}=\frac{13}{15}\times\frac{10}{7}$.
Step2: Multiply numerators and denominators
Multiply the numerators $13\times10 = 130$ and the denominators $15\times7=105$. So we get $\frac{130}{105}$.
Step3: Simplify the fraction
Find the greatest - common divisor (GCD) of 130 and 105. The GCD of 130 and 105 is 5. Divide both the numerator and denominator by 5: $\frac{130\div5}{105\div5}=\frac{26}{21}$.
Answer:
$\frac{26}{21}$