### Home > CC1 > Chapter 7 > Lesson 7.2.3 > Problem7-64

7-64.

Without using a calculator, find the following quotients.

1. $4 \frac { 1 } { 3 } \div 1 \frac { 1 } { 6 }$

• For part (a), start by rewriting the mixed numbers as a fractions greater than one:

Now, instead of dividing the fractions, multiply the first fraction by the reciprocal of the second fraction.

Proceed by multiplying the numerators and the denominators and finish by simplifying the fraction.

$\frac{26}{7}$

$4\frac{1}{3}=\frac{13}{3}\ \text{and}\ 1\frac{1}{6}=\frac{7}{6}$

$\frac{13}{3}\div\frac{7}{6}=\frac{13}{3}\cdot\frac{6}{7}$

$\frac{13}{3}\cdot\frac{6}{7}=\frac{78}{21}$

1. $8.06 \div 2.48$

• For part (b), divide using long division.
Don't forget to move the decimal point in the quotient once you have divided!

1. $3 \frac { 2 } { 5 } \div 1 \frac { 3 } { 10 }$

• For part (c), refer to the process outlined in part (a).