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Fractions – Definition and Actual-Life Examples

Fractions are used to point the variety of elements of an entire. Suppose you go to Domino’s pizza and order a medium pizza. In case your pizza has 8 slices and also you didn’t eat the entire pizza, which means that elements of the entire pizza will likely be left on the pizza field.

The pizza on the left reveals six-eighths (6/8) and the pizza on the appropriate reveals four-eighths (4/8).

6/8 and 4/8 are referred to as fractions.

The highest quantity is the numerator of the fraction and it tells us what number of slices there are.

The underside quantity is the denominator of the fraction and it tells us what number of equal slices there are in complete.

Equally, suppose a rectangle has 4 equal elements and we shade 1 a part of the rectangle. The fraction is 1/4


Discover {that a} ahead slash (/) or a horizontal line could also be used to separate the numerator from the denominator.

As a result of


 is extra interesting, we want to make use of it as a substitute of two/8.

Equal fractions

Now, check out the determine under. You possibly can clearly see that six-eighths (6/8) of an entire pizza is similar as three-fourths (3/4) of an entire pizza.

6/8 and three/4 are equal fractions. Though 6/8 and three/4 have completely different numerators and completely different denominators, they’re each equal.

Equivalent fractions

In actual fact, 6/8 = 3/4 = 0.75

Extra examples of equal fractions

Greater phrases and decrease phrases of fractions

Discover that to get from 1/2 to 4/8, all we have to do is to multiply each the numerator and the denominator of 1/2 by the identical quantity or 4.

In the identical approach, to get from 1/3 to five/15, we are able to multiply each the numerator and the denominator of 1/3 by 5.

4/8 and 5/15 are referred to as larger phrases of 1/2 and 1/3 respectively. 

Watch out! 4/8 is just not larger than 1/2 and 5/15 is just not larger than 1/3.

4/8 is a better time period of 1/2 solely as a result of it has a much bigger numerator and a much bigger denominator. Nonetheless, we noticed earlier than that 1/2 and 4/8 are equal fractions since 1/2 = 4/8 = 0.5

Discover too that you would be able to go from a better time period to a decrease time period. As an illustration, to carry 5/15 to a decrease time period, all you could do is to divide each numerator and denominator by 5. You’re going to get 1/3.

Simplifying a fraction is the method of going from larger phrases to decrease phrases. To get the only type of a fraction, divide the numerator and the denominator by the biggest widespread issue (gcf) or the most important quantity that divides into each numerator and denominator evenly.

As an illustration, to carry 10/40 to its easiest from, divide each 10 and 40 by 10. You’re going to get 1/4.

1/2 and 1/3 are the bottom phrases of 4/8 and 5/15 respectively. 

Including fractions

Adding fractions with pizza

When the fractions have a standard denominator (similar denominator), add the numerators and hold the identical denominator.

4/8 + 2/8 = (4 + 2)/8 = 6/8

Discover that 1/2 = 4/8 and 1/4 = 2/8. Subsequently, 1/2 + 1/4 = 4/8 + 2/8 = 6/8.

If the denominators aren’t the identical, you will have to search for the least widespread a number of (LCM) of the denominators. See including fractions for extra explanations.

Utilizing fractions to point out ratios

You should utilize a fraction to point out a ratio. In a ratio, the numerator reveals the a part of a bunch you’re contemplating and the denominator present the remainder of the group or the entire group.

Suppose a category has 6 boys and 10 ladies. What’s the ratio of boys to women. On this instance, the numerator is the variety of boys and the denominator is the remainder of the group or the variety of ladies.

The ratio of boys to women is  


What’s the ratio of women to the overall variety of college students? On this case, the numerator is the variety of ladies and the denominator is the entire group or the overall variety of college students

The ratio of women to complete variety of college students is  


Utilizing fractions to point out division

A fraction may also be used to characterize division.

The expression 


  also can imply 4 divided by 5 or 4 ÷ 5.

You possibly can then write the fraction as a decimal. For instance, 4/5 = 4 ÷ 5 = 80/100 = 0.8

Benchmark fractions

Benchmark fractions are fractions which might be used so much in fundamental math and they’re additionally useful in picturing different fractions.

Examples of benchmark fractions

With benchmark fractions, you are able to do the followings:

  • Rapidly examine and order fractions. For instance, 2/3 is larger than 1/4.
  • Spherical fractions and combined numbers. For instance, 3/4 rounds as much as 1 since it’s nearer to 1 than to 0.
  • Estimate sums and variations of fractions and combined numbers. For instance, 3/4 + 1/3 is larger than 1 since 1/3 is larger than 1/4.

A few examples displaying how fractions are utilized in on a regular basis life

1. For those who prepare dinner so much by following a recipe, then it’s essential to have used fractions so much earlier than.

Suppose a recipe says to make use of 12 tablespoons of sugar to make a cake weighing 3 kilos. How a lot sugar will you employ for a one-pound cake?

Since you’re making 1/3 of the entire cake, it’s possible you’ll purpose that you could use 1/3 of 12 tablespoons.

2. Nurses and pharmacists should completely be good at fractions as a way to give affected person the proper dosage of a drugs. Suppose the dosage energy of a drugs is 100 mg. If the physician orders 25 mg, what number of tablets will you give? Nurses and pharmacists might have the next method to resolve this drawback,

Variety of tablets to provide =

Medicine energy ordered by the physician
Dosage energy of 1 pill

Variety of tablets to provide =

25 mg
100 mg

Nurses and pharmacists should know that 25/100 and 1/4 are equal fractions to allow them to give 1/4 of the pill to the affected person.

How effectively do you perceive this lesson? Take this quiz about fractions!

Nonetheless scuffling with fractions? Eliminate your fears and frustrations as soon as and for all!

If you do not know fractions very effectively, you’ll most likely wrestle to do effectively on most math exams. Construct a robust basis in math as we speak earlier than it’s too late!

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Fractions ebook cover

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