7/8 x 3/9 reduced to the lowest terms =
Select one:
A. 21/72
B. 24/63
C. 7/24
D. 8/21
Answer (2)
Multiply the numerators: 7 × 3 = 21 .
Multiply the denominators: 8 × 9 = 72 .
Form the fraction 72 21 and simplify by dividing both numerator and denominator by their greatest common divisor, which is 3.
The reduced fraction is 24 7 .
Explanation
Problem Analysis We are given the expression 8 7 × 9 3 . Our goal is to multiply these two fractions and reduce the resulting fraction to its lowest terms.
Multiplying the Fractions First, we multiply the numerators and the denominators separately: Numerator = 7 × 3 = 21 Denominator = 8 × 9 = 72 So, the resulting fraction is 72 21 .
Finding the Greatest Common Divisor (GCD) Now, we need to reduce the fraction 72 21 to its lowest terms. To do this, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 21 and 72 is 3.
Reducing the Fraction We divide both the numerator and the denominator by their GCD: 72 ÷ 3 21 ÷ 3 = 24 7 Thus, the fraction 72 21 reduced to its lowest terms is 24 7 .
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 4 3 cup of flour and you only want to make half of the recipe, you need to multiply 4 3 by 2 1 to find the new amount of flour needed. Simplifying fractions helps in understanding proportions and ratios, which are essential in various fields like finance, engineering, and statistics.
When multiplying the fractions 8 7 and 9 3 , we find that the product is 72 21 . By simplifying this fraction, we obtain 24 7 as the final answer. Thus, the correct choice is C. 24 7 .
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