math help

What is 100/72 + 1/10?

What is 100/72 + 1/10?

Let's add

100
72
+
1
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 100 by 10, and get 1000, then we multiply 72 by 10 and get 720.

100/72 times 10

Now for the second term. You multiply 1 by 72, and get 72, then multiply 72 by 10 and get 720.

1/10 times 72

We now have a new problem, that looks like this:

1000
720
+
72
720

Step 2

Since our denominators match, we can add the numerators.

1000 + 72 = 1072

That gives us the sum, which is

1072
720

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

1072
720
÷ 2 =
536
360

Let's try dividing by that again...

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

536
360
÷ 2 =
268
180

Let's try dividing by that again...

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

268
180
÷ 2 =
134
90

Let's try dividing by that again...

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

134
90
÷ 2 =
67
45

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...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

No good. 47 is larger than 45. So we're done reducing.

There you have it! Here's the final answer to 100/72 + 1/10

100
72
+
1
10
=
67
45
© 2014 Randy Tayler