math help

What is 56/60 + 3/10?

What is 56/60 + 3/10?

This is how we add

56
60
+
3
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 3 by 6, and get 18, then we multiply 10 by 6 and get 60.

3/10 times 6

This gives us a new problem that looks like so:

56
60
+
18
60

Step 2

Since our denominators match, we can add the numerators.

56 + 18 = 74

That gives us an answer of

74
60

Step 3

Can this fraction be reduced?

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

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

74
60
÷ 2 =
37
30

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...

No good. 31 is larger than 30. So we're done reducing.

There you have it! Here's the final answer to 56/60 + 3/10

56
60
+
3
10
=
37
30
© 2014 Randy Tayler