Can I reduce these fractions before I multiply them together? because when i multiply them I get some huge numbers. thank you
11/52 times 39/80
21/25 times 15/28
32/121 times 33/144
16/105 times 155/93
I don't think any of those fractions can be reduced.
You can "reduce" before you multiply if you can find a factor of one numerator and the other denominator.
11/52 X 39/80 52 and 39 are both divisible by 13, making your problem
11/4 X 3/30
21/25 X 15/28 21 and 28 both divisible by 7; 15 and 25 are divisible by 5, making the problem 3/5 X 3/4
Your answer should be the same either way. It just makes it easier in the end.
yes u can not reduce any of the fractions which means they are not divisible by 7 15 25 and 5 ask your professor for help if needed
Yes, you can reduce the fractions before multiplying them together. Reducing fractions can simplify the multiplication process and help avoid dealing with large numbers.
To reduce a fraction, you need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.
Let's go through each example:
1. 11/52 times 39/80
First, find the GCD of 11 and 52, which is 1 because they have no common factors other than 1. So, you can't reduce 11/52 any further.
Then, find the GCD of 39 and 80, which is 1 as well. So, you can't reduce 39/80 either.
Therefore, the product of the fractions remains 11/52 times 39/80.
2. 21/25 times 15/28
The GCD of 21 and 25 is 1.
The GCD of 15 and 28 is 1 as well.
Hence, the product of the fractions remains 21/25 times 15/28.
3. 32/121 times 33/144
The GCD of 32 and 121 is 1.
The GCD of 33 and 144 is also 1.
Therefore, the product of the fractions remains 32/121 times 33/144.
4. 16/105 times 155/93
Now, let's reduce each fraction individually before multiplying them together.
The GCD of 16 and 105 is 1.
The GCD of 155 and 93 is 31. Divide both numerator and denominator of 155/93 by 31, resulting in 5/3.
Now, you can multiply the reduced fractions together: 16/105 times 5/3.
By reducing the fractions before multiplication, you may end up with simpler results and avoid encountering large numbers.