To solve 3/4 divided by 2/5, Elisha writes, 3/4 divided by 2/5 is the same as 15/20 divided by 8/20. So the answer to 3/4 divided by 2/5 is the same as 15 divided by 8.
Is Elisha's first claim, that 3/4 divided by 2/5 is the same as 15/20 divided by 8/20, correct?
Right
Yes, Elisha's first claim that 3/4 divided by 2/5 is the same as 15/20 divided by 8/20 is correct. To explain why this is true, let's break it down step by step:
Step 1: Start with the original division problem, 3/4 divided by 2/5.
Step 2: To divide fractions, we can use the rule "invert and multiply." This means we need to take the reciprocal (or the inverted form) of the divisor (2/5) and multiply it by the dividend (3/4).
Step 3: The reciprocal of 2/5 is 5/2. Therefore, we can rewrite the problem as 3/4 multiplied by 5/2.
Step 4: Simplify the fractions before multiplication. 3/4 is already in its simplest form, but 5/2 can be simplified by dividing both the numerator and denominator by 5 to get 1/2.
Step 5: Now, multiply the simplified fractions: 3/4 multiplied by 1/2. Multiplying the numerators gives 3 times 1, which is 3, and multiplying the denominators gives 4 times 2, which is 8.
So, the resulting fraction is 3/8, which is equivalent to the division of 3/4 by 2/5. Therefore, Elisha's first claim that 3/4 divided by 2/5 is the same as 15/20 divided by 8/20 is correct.