Sorry I forgot to give directions for each problem. The lines represent that the numbers are fractions. Thank you.
Multiply
�ã7/�ã8 �~ �ã24/�ã49 =
Divide
�ã45/�ã81 =
Simplify
7�ã3/�ã5 =
I don't understand the ã symbol. What is the ~ supposed to represent? Multiplication? Better to use * or x' fr that
If ã means "square root, and ~ means multiplication, then
sqrt7/sqrt8 * sqrt24/sqrt49
= sqrt[7/8)*(24/49)]
= sqrt(3/7)
Yes, You figured out what I was trying
to submit. Thank you very much.
I did resubmit with correct signs directly to you.
Thanks
No problem! Let's solve each of the problems step by step.
1. Multiply:
To multiply fractions, you need to multiply the numerators (the numbers on the top) and multiply the denominators (the numbers on the bottom). So for the given problem:
(7/8) * (24/49)
Multiply the numerators: 7 * 24 = 168
Multiply the denominators: 8 * 49 = 392
So the final answer is 168/392.
2. Divide:
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So for the given problem:
(45/81)
Divide by taking the reciprocal: (45/81) * (81/45)
Multiply the numerators: 45 * 81 = 3645
Multiply the denominators: 81 * 45 = 3645
So the final answer is 3645/3645. To simplify, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 3645 itself, so the answer simplifies to 1/1, which is equal to 1.
3. Simplify:
To simplify the given fraction, you need to simplify the square roots (√) in both the numerator and denominator. So for the given problem:
7√3/5√5
There are no common factors under the square roots, so the fraction cannot be simplified further.
So the final answer is 7√3/5√5.