Could I please have some help with this
Calcuate the following and simplify where possible
3/7 divided by 2/3
1/4 divided by 5/6
1/3 divided by 5/12
I'll do the first one. Then you can use it as a model to do the other two.
3/7 divided by 2/3
When we divide fractions, we change the division sign to a multiplication sign and invert the divisor.
(3/7) * (3/2) =
Multiply the numerators together. Multiply the denominators together.
(3/7) * (3/2) = 9/14
Thank you Ms. Sue, would you mind checking my answers fort he other two.
1/4 divided by 5/6 = 3/10 ?
1/3 divided by 5/12 = 4/5 ?
Also I have one more
12 divided by 3/4 = would this be 1 ?
You're welcome.
Your first two answers are correct.
(12/1) / (3/4)
(12/1) * (4/3) = 48/3 = 16
Of course! To calculate the division of fractions, you can use the following steps:
1. To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction a/b is b/a.
Now let's calculate the examples you provided:
1. 3/7 ÷ 2/3:
To divide fractions, we will multiply the first fraction (3/7) by the reciprocal of the second fraction (3/2).
So, the calculation becomes: (3/7) * (3/2).
2. 1/4 ÷ 5/6:
To divide fractions, multiply the first fraction (1/4) by the reciprocal of the second fraction (6/5).
So, the calculation becomes: (1/4) * (6/5).
3. 1/3 ÷ 5/12:
To divide fractions, multiply the first fraction (1/3) by the reciprocal of the second fraction (12/5).
So, the calculation becomes: (1/3) * (12/5).
Now, let's simplify the results if possible. To simplify a fraction, you need to find the greatest common divisor (GCD) between the numerator and denominator, and divide both by it.
For example, if you have 20/60, the GCD is 20, and dividing both sides by 20 gives the simplified fraction 1/3.
I will now calculate and simplify the fractions you provided.