CPM Homework Help : CC1 Problem 7-64

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Home > CC1 > Chapter Ch7 > Lesson 7.2.3 > Problem 7-64

7-64.

Without using a calculator, find the following quotients.

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

Step 1 (a):
For part (a), start by rewriting the mixed numbers as a fractions greater than one:
Step 2 (a):
Now, instead of dividing the fractions, multiply the first fraction by the reciprocal of the second fraction.
Step 3 (a):
Proceed by multiplying the numerators and the denominators and finish by simplifying the fraction.
Answer (a):
$\frac{26}{7}$

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

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

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

$8.06 \div 2.48$

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

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

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

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