Fraction Add Subtract Multiply Divide

Fraction add subtract multiply divide are some basic operations that can be performed on fraction. Fractions can be a bit tricky, but once you get the hang of it, they’re not too bad. In this article, we’ll review the basics of fractions and how to add, subtract, multiply, and divide them.

The numerator is the number on top of the fraction, and the denominator is the number on the bottom. The denominator tells you how many parts the whole is divided into, and the numerator tells you how many of those parts you have.

Say you order a large pizza for a party! The pizza arrives in a large box—pre-cut into eight slices. How can the pizza be divided equally among three people? Well, you divide the 8 pieces of pizza by 3 people to obtain 8/3 or 2⅔ pieces per person. Did you remember learning that when you were younger?

To add and subtract fractions, the best way is to make sure you find common denominators among them, then add and/or subtract the value of the numerators (while retaining the common denominator)

Terminologies needed to understand fractions:

What is fraction or a ratio?

One number divided by another number is known as a fraction or a ratio. Example: 2/3. A fraction is a smaller part of a whole number. · A fraction has a numerator e.g. 3 and a denominator e.g. 5, so the resulting fraction is 3/5. Three over five.

What is Numerator and Denominator?

The top number of the fraction is numerator. The bottom number of the fraction is denominator. Given the fraction 2/3, the numerator is “2” and

the denominator is “3”

Proper Fraction:

A fraction where the numerator is a number that is smaller than the denominator. Example 2/3

Improper Fraction:

A fraction where the numerator is the same or larger than the denominator. Example 3/2

Mixed Number:

A whole number, together with a fraction is called mixed fraction. Example 2.2/3

If you ate six slices of pizza out of the 8 total slices, how much of the pizza would have been eaten? 6/8 is the answer; however, this can be further reduced to 3/4.since both the numerator and denominator can be divided by 2 (or as you will learn later, 2 is called the greatest common factor of 6 and 8), thus we have,

(6 ÷2) / 8 ÷2 = 3/4

Anytime you either divide both the numerator and denominator by the same value or multiply both the numerator and denominator by the same value, you have what is called an equivalent fraction.

As 3/4 cannot be further divided we can keep it as it is or do actual division.

Fraction Add Subtract Multiply Divide:

1. Add

Follow these two steps to add fraction:

step 1: Make sure the bottom numbers (the denominators) are the same.

step 2: Add the top numbers (the numerators), put that answer over the denominator.

Simplifying the number is optional once you perform addition.

Example: 1/2 + 1/2 = (1 + 1 )/2 = 2/2 = 1

2. Subtract

Follow below two steps to subtract fraction:

step 1: Make sure the bottom numbers (the denominators) are the same.

step 2: Subtract the top numbers (the numerators), put that answer over the denominator.

Simplifying the number is optional once you perform addition.

Example: 3/2 – 1/2 = (3 – 1 )/2 = 2/2 = 1

3. Multiply

You need simple one step to do multiplication. Multiply numerator to numerator and denominator to denominator. Simplification is optional

Example: 2/3 * 3/4 = (2 * 3) / (3 * 4) = 6/12 = 1/2

4. Divide

Convert into multiplication by interchanging numerator and denominator of second number. Example: (2/3) / (3/4)

= (2/3) * (4/3) = 8/9

Converting a Mixed Number to an Improper Fraction:

Let’s take a mixed number (which consists of a whole number, together with a fraction) and convert this to an improper fraction. This procedure often is helpful when adding, subtracting, multiplying, and dividing fractions. To convert 2*(3/4) to an improper fraction, we start by
multiplying the denominator (the “4”) of the fraction times the whole number. So 4 times 2 is 8, (which corresponds to the fact that 8/4 = 2). To this result we add the numerator (the “3”), to obtain 8 + 3 = 11 (or 8/4 + 3/4 = 11/4 ) and then finally divide by the denominator (the “4”). Thus,
2*3/4 = 11/4

Converting an Improper Fraction to a Mixed Number

We will now do the opposite procedure and convert an improper fraction to a mixed number. Again, let’s use the improper fraction 11/4 . Since 11 divided by 4 is 2 with a remainder of 3, we can write 11/4 = 2*3/4