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Chapter 1: Problem 30

Simplify each fraction by reducing it to its lowest terms. $$\frac{8}{14}$$

Short Answer

Expert verified
The fraction reduced to its lowest terms is \(\frac{4}{7}\)

Step by step solution

01

Identify the greatest common divisor (gcd)

In this case, the numerator is 8 and the denominator is 14. Their largest common factor is 2.
02

Divide both the numerator and denominator by their gcd

When we divide 8 by 2, we get \( \frac{8}{2} = 4 \). Then we divide 14 by 2, we get \( \frac{14}{2} = 7 \).
03

Form the simplified fraction

After reducing both the numerator and denominator by their greatest common divisor, we get a new fraction \(\frac{4}{7}\) which is the fraction reduced to its lowest terms.

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Most popular questions from this chapter

Identify the terms in each algebraic expression. $$12 x-5 x y-4$$

Perform the indicated subtraction. $$\frac{4}{9}-\frac{7}{9}$$

Perform the indicated subtraction. $$0-(-13)$$

Simplify each series of additions and subtractions. $$-\frac{1}{2}-\frac{2}{3}-\left(-\frac{1}{3}\right)$$

Perform the indicated subtraction. $$1.3-(-1.3)$$
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