math help

What is 87/100 + 1/4?

What is 87/100 + 1/4?

This is how we add

87
100
+
1
4

Step 1

Now we need to make our denominators match.

Since 4 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 1 by 25, and get 25, then we multiply 4 by 25 and get 100.

1/4 times 25

So now our fractions look like this:

87
100
+
25
100

Step 2

Since our denominators match, we can add the numerators.

87 + 25 = 112

So the answer is:

112
100

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

112
100
÷ 2 =
56
50

Let's try dividing by that again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

56
50
÷ 2 =
28
25

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

No good. 29 is larger than 28. So we're done reducing.

There you have it! Here's the final answer to 87/100 + 1/4

87
100
+
1
4
=
28
25
© 2014 Randy Tayler