Write an equivalent FRACTION to 5/8 that has a denominator of 40
then reduce 25/40 = 5/8 or would the answer still be 25/40
To do this is simply if you remember how to convert from one denominator to the other. I start by writing the two numbers side by side like so.
5/8 = ?/40
Then 8 goes into 40 how many times? That would be 5. Then 5 x the numerator = 25, so the answer is 25/40. You can always check it to see if it reduces to 5/8 and it will because both numerator and denominator can be divided by 5 to give 5/8.
Your set up is correct.
I will replace ? with x and solve for x.
5/8 = x/40
We now cross-multiply.
8 times x = 8x.
5 times 40 = 200
We now have:
8x = 200
To find x, we divide both sides of the equation by 8.
x = 200/8
x = 25
What is the same fraction as 5/8?
The answer is 25/40.
Done!
To find an equivalent fraction to 5/8 with a denominator of 40, you need to multiply both the numerator and the denominator of 5/8 by the same number to get a fraction with the desired denominator.
To convert the denominator 8 to 40, you multiply it by 5: 8 x 5 = 40.
So, you need to multiply both the numerator and denominator of 5/8 by 5:
5/8 x 5/5 = 25/40.
Therefore, the equivalent fraction to 5/8 with a denominator of 40 is 25/40.
To reduce 25/40, you can divide both the numerator and the denominator by their greatest common factor (GCF). In this case, the GCF of 25 and 40 is 5.
Dividing both numerator and denominator by 5:
25 ÷ 5 / 40 ÷ 5 = 5/8.
Hence, the reduced form of 25/40 is still 5/8.
To find an equivalent fraction to 5/8 that has a denominator of 40, you can multiply both the numerator and denominator by the same number to scale up or down the fraction without changing its value.
To determine the multiplier, divide the desired denominator (40) by the current denominator (8):
40 ÷ 8 = 5
Now, multiply both the numerator (5) and the denominator (8) of 5/8 by the multiplier (5):
5 × 5 = 25 (new numerator)
8 × 5 = 40 (new denominator)
So, the equivalent fraction to 5/8 with a denominator of 40 is 25/40.
However, to simplify or reduce the fraction further, we need to determine if there is a common factor between the numerator and the denominator. In this case, both 25 and 40 can be divided by 5:
25 ÷ 5 = 5
40 ÷ 5 = 8
So, the reduced fraction of 25/40 is 5/8.