math help

What is 60/48 + 10/11?

What is 60/48 + 10/11?

This is how we add

60
48
+
10
11

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 60 by 11, and get 660, then we multiply 48 by 11 and get 528.

60/48 times 11

Now for the second term. You multiply 10 by 48, and get 480, then multiply 48 by 11 and get 528.

10/11 times 48

This gives us a new problem that looks like so:

660
528
+
480
528

Step 2

Since our denominators match, we can add the numerators.

660 + 480 = 1140

That gives us an answer of

1140
528

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:

1140
528
÷ 2 =
570
264

Let's try dividing by that again...

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

570
264
÷ 2 =
285
132

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:

285
132
÷ 3 =
95
44

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...

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 44. So we're done reducing.

There you have it! Here's the final answer to 60/48 + 10/11

60
48
+
10
11
=
95
44
© 2014 Randy Tayler

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