Question

What is the quotient of 4 1/4 / 2 1/5

Answer 1

The quotient for the given mixed fraction is 1.9318

Step-by-step explanation:

Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction $4\frac{1}{4}$ we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get $\frac{17}{4}$. Similarly, we get the improper fraction $\frac{11}{5}$ for converting the mixed fraction $2\frac{1}{5}$ .

Step 2; After conversion, it's just a matter of division. The fraction $\frac{17}{4}$ equals 4.25 while the denominator $\frac{11}{5}$ equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.