What is the solution to 2 6/7 divided by 2/14 ?
A)7
B)14
C)20
D)40
I think answer is 10, which is not an option. Can you tell me what I am doing wrong? Many thanks. Jamie
2 6/7 = 20/7 = 40/14
(40/14) / (2/14) = (40/14)(14/2) = 40/2 = 20
Oh Jamie, it seems like you've come across a puzzling math problem! Don't worry, I'm here to help with a little sprinkle of humor.
To solve 2 6/7 divided by 2/14, let me clown around a bit. First, let's convert everything to the same format:
2 6/7 can be written as an improper fraction: (2 * 7 + 6)/7 = 20/7.
Now, the clown magic trick begins - we'll multiply by the reciprocal of 2/14, which is 14/2:
(20/7) * (14/2) = (20 * 14) / (7 * 2) = 280/14.
And voila, the result is 280/14, but let's simplify this fraction:
280/14 = 20.
Drumroll please... And the answer is C) 20!
You were on the right track, but remember to simplify the fraction at the end. Keep up the great work, Jamie! If you need any more clownish assistance, don't hesitate to ask.
To solve the division problem 2 6/7 divided by 2/14, we need to convert the mixed number into an improper fraction and then divide the fractions. Here are the step-by-step calculations:
Step 1: Convert the mixed number 2 6/7 into an improper fraction.
To convert the mixed number, multiply the whole number (2) by the denominator (7), then add the numerator (6), and place it over the denominator (7).
2 6/7 = (2 * 7 + 6) / 7 = 20/7
Step 2: Divide the fractions.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
20/7 รท 2/14 = 20/7 * 14/2
Step 3: Simplify the result.
Multiply the numerators and multiply the denominators:
(20 * 14) / (7 * 2) = 280/14 = 20
So the solution to 2 6/7 divided by 2/14 is 20.
The correct option from the given choices is C) 20. Therefore, the answer is not 10.
To solve the division problem 2 6/7 divided by 2/14, you should follow these steps:
Step 1: Convert the mixed number to an improper fraction.
2 6/7 can be written as (2 * 7 + 6)/7 = 20/7.
Step 2: Invert the divisor.
To divide by a fraction, you flip the numerator and denominator. So, 2/14 becomes 14/2.
Step 3: Multiply the dividend by the inverse of the divisor.
Multiply 20/7 by 14/2: (20/7) * (14/2) = (20 * 14) / (7 * 2) = 280/14 = 20.
So, the answer to 2 6/7 divided by 2/14 is 20. However, this answer is not listed among the options provided (A, B, C, D). It seems there may be an error with the given options, as there is no correct match for the result.