math help

What is 22/60 + 7/10?

What is 22/60 + 7/10?

Let's add

22
60
+
7
10

Step 1

Now we need to make our denominators match.

60 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 7 by 6, and get 42, then we multiply 10 by 6 and get 60.

7/10 times 6

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

22
60
+
42
60

Step 2

Since our denominators match, we can add the numerators.

22 + 42 = 64

Answer:

64
60

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:

64
60
÷ 2 =
32
30

Let's try dividing by that again...

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

32
30
÷ 2 =
16
15

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...

No good. 17 is larger than 16. So we're done reducing.

There you have it! Here's the final answer to 22/60 + 7/10

22
60
+
7
10
=
16
15
© 2014 Randy Tayler