math help

What is 48/30 + 2/10?

What is 48/30 + 2/10?

This is how to add

48
30
+
2
10

Step 1

Now we need to make our denominators match.

Since 10 is evenly divided by 30, we can multiply just one term to get a common denominator.

Multiply 2 by 3, and get 6, then we multiply 10 by 3 and get 30.

2/10 times 3

The problem now has new fractions to add:

48
30
+
6
30

Step 2

Since our denominators match, we can add the numerators.

48 + 6 = 54

This yields the answer

54
30

Step 3

The last step is to reduce the fraction if we can.

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:

54
30
÷ 2 =
27
15

Let's try dividing by that again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

27
15
÷ 3 =
9
5

Let's try dividing by that again...

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

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

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 48/30 + 2/10

48
30
+
2
10
=
9
5
© 2014 Randy Tayler