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Chapter 1: Problem 34

Simplify each fraction by reducing it to its lowest terms. $$\frac{45}{50}$$

Short Answer

Expert verified
The simplified form of \( \frac{45}{50} \) is \( \frac{9}{10} \)

Step by step solution

01

Identify the Numerator and Denominator

The numerator in this fraction is 45 and the denominator is 50.
02

Compute the Greatest Common Divisor (gcd)

Firstly, list the factors of each number. The factors of 45 are: 1, 3, 5, 9, 15, 45 and those for 50 are: 1, 2, 5, 10, 25, 50. The greatest number that exists in both lists is 5, so the gcd of 45 and 50 is 5.
03

Simplify the Fraction

Divide both the numerator and the denominator by the gcd. So, \( \frac{45}{5} \) = 9 and \( \frac{50}{5} \) = 10. From this, the simplified fraction becomes \( \frac{9}{10} \)

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(7-(-2)=5\)

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