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Chapter 1: Problem 41

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{2}{5} \cdot \frac{1}{3}$$

Short Answer

Expert verified
The result of \(\frac{2}{5} \cdot \frac{1}{3}\) is \(\frac{2}{15}\)

Step by step solution

01

Multiply the Numerators

First, we should multiply the numerators (the top number of a fraction) together. So, in this case, we multiply 2 and 1 to get 2.
02

Multiply the Denominators

Then, we multiply the denominators (the bottom number of a fraction) together. That would be 5 and 3 in this instance which multiplicate to 15.
03

Simplify the Fraction

Lastly, we check if the fraction can be simplified to its lowest terms. The fraction \(\frac{2}{15}\) is already in its lowest terms as its numerator (2) and denominator (15) have no common factors other than 1.

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Most popular questions from this chapter

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)

A multiplication is expressed as a repeated addition. Find this sum, indicated by a question mark. $$4(-3)=(-3)+(-3)+(-3)+(-3)=?$$

Simplify each series of additions and subtractions. $$-\frac{3}{4}-\frac{1}{4}-\left(-\frac{5}{8}\right)$$

Perform the indicated subtraction. $$13-(-13)$$

A multiplication is expressed as a repeated addition. Find this sum, indicated by a question mark. $$3(-3)=(-3)+(-3)+(-3)=?$$
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