$7 / 8 \div 7 / 16$ reduced to the lowest terms =
Select one:
a. 1
b. 2
c. $7 / 2$
d. $7-1 / 32$
Answer (2)
Rewrite the division as multiplication by the reciprocal: $\frac{7}{8}
div \frac{7}{16} = \frac{7}{8}
times \frac{16}{7}$.
Cancel the common factor of 7: $\frac{7}{8}
times \frac{16}{7} = \frac{1}{8}
times 16$.
Simplify the expression: $\frac{1}{8}
times 16 = \frac{16}{8}$.
Reduce the fraction to its lowest terms: $\frac{16}{8} =
\boxed{2}$.
Explanation
Understanding the problem We are asked to simplify the expression $7/8
div 7/16$ and reduce it to its lowest terms.
Rewriting the division To divide by a fraction, we multiply by its reciprocal. Therefore, we can rewrite the expression as:
8 7 d i v 16 7 = 8 7 t im es 7 16
Simplifying the expression Now, we can simplify the expression by canceling the common factor of 7 in the numerator and the denominator:
8 7 t im es 7 16 = 8 1 t im es 1 16 = 8 16
Reducing to lowest terms Finally, we reduce the fraction to its lowest terms:
8 16 = 2
Final Answer Therefore, $7/8
div 7/16$ reduced to the lowest terms is 2.
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 7/8 of a cup of flour and you only have a 7/16 cup measuring scoop, you need to figure out how many scoops you need. This problem demonstrates how to divide fractions to find the answer, which in this case is 2 scoops.
The expression 8 7 ÷ 16 7 simplifies to 2 when following the steps of rewriting the division as multiplication by the reciprocal, canceling common factors, and reducing the fraction. The correct answer from the options given is 2 .
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