What is 4 1/2 - 1 2/3 = ?

2 5/6

Step-by-step explanation:

It's important to convert the mixed fractions (aka ex. 4 1/2 or 1 2/3) into improper fractions (aka ex. 9/2 or 5/3). An improper fraction has a greater numerator than the denominator.

With that said, let's solve!

First, convert 4 1/2 to an improper fraction.

As most of us know, the proper way to convert is to multiply the whole number (ex. 4) by the denominator (ex. 2) and then add the numerator (ex. 1).

(4 x 2 ) + 1 = 9

Then, we always keep the original denominator (ex. 2). Now, we have 9/2.

Let's repeat the same steps with 1 2/3.

(1 x 3) + 2 = 5

By keeping the original denominator, we get 5/3.

Now the equation is : 9/2 - 5/3

Step 1 is complete.

But the denominator isn't the same, so we need to find the LCD (Least Common Denominator) of 2 and 3.

What multiple do 2 and 3 have in common?

The correct answer is 6, because 2 x 3 = 6 or 3 x 2 = 6

We can't just write 9/6, otherwise that would be a completely different fraction.

Now take the denominator of the first fraction, (2) and think : what number do you multiply by 2 to get 6? 3.

Multiply: 9 x 3 = 27

27/6 is the first fraction

Repeat the same steps.

Once you are done calculating, you should get:

27/6 - 10/6

Since the denominators are the same, we only need to subtract the numerators.

27 - 10 = 17.

17/6 is the answer.

If you want the answer in Mixed Number, you need to convert it.

Once done, you will get :

2 5/6

For more simple step by step explanations, I recommend using :

https://www.mathpapa.com/algebra-calculator.html

d is the answer

step-by-step explanation: