Question

Write the quotient in lowest terms. 1 1/4 ÷ 1 2/5.

Answer 1

To write the quotient in lowest terms, convert the mixed numbers to improper fractions, divide the numerators and denominators separately, and simplify the resulting fraction.

Step-by-step explanation:

To write the quotient in lowest terms, we need to divide the two mixed numbers and simplify the result. Here are the steps:

1. Convert the mixed numbers to improper fractions. 1 1/4 becomes 5/4 and 1 2/5 becomes 7/5.
2. Divide the numerators (5 and 7) to get the numerator of the quotient: 5 ÷ 7 = 35.
3. Divide the denominators (4 and 5) to get the denominator of the quotient: 4 ÷ 5 = 0.8.
4. Write the quotient in lowest terms by reducing the fraction. In this case, the fraction cannot be simplified further, so the quotient in lowest terms is 35/4 or 8 3/4.