Multiply or divide as indicated. Write answers in lowest terms as needed. 6(3/4)/(3/8)
Verified step by step guidance
1
First, simplify the expression by rewriting the division as multiplication by the reciprocal: \( 6 \times \frac{3}{4} \div \frac{3}{8} = 6 \times \frac{3}{4} \times \frac{8}{3} \).
Simplify the expression by canceling out common factors in the numerator and the denominator.
Multiply the remaining numbers in the numerator and the denominator.
Write the final answer in its lowest terms.
Recommended similar problem, with video answer:
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
2m
Play a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Fractions
To multiply fractions, you multiply the numerators together and the denominators together. For example, multiplying 6 by 3/4 involves converting 6 into a fraction (6/1) and then performing the multiplication: (6 * 3) / (1 * 4) = 18/4. This result can then be simplified to its lowest terms.
Dividing by a fraction is equivalent to multiplying by its reciprocal. For instance, dividing by 3/8 means you multiply by 8/3. Therefore, the expression 6(3/4)/(3/8) can be rewritten as 6(3/4) * (8/3), which simplifies the calculation by changing the division into multiplication.
Simplifying fractions involves reducing them to their lowest terms, where the numerator and denominator have no common factors other than 1. This is done by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by this number. For example, 18/4 can be simplified to 9/2 by dividing both the numerator and denominator by 2.