Tuesday 24 November 2020

Maths | Fractions, Decimals and Percentages

Fractions are the equal pieces of a whole that has been divided by a certain amount. A decimal is an amount that is less than one. Percentages are a number or ratio that represents a fraction of 100.

A fraction has two parts; the numerator and the denominator. The denominator is the bottom number, and it represents how many pieces the whole has been divided into. The numerator is the top, and it represents how many pieces a person has.

Equivalent fractions are fractions that have the same value or are equal to eachother. Fractions such as 2/4 and 1/2 are equivalent fractions because one half of two is one, and one half of four is two.

Improper Fractions are fractions where the numerator is greater than the denominator. A fraction such as 5/4 is an improper fraction because the numerator is higher than the denominator.

Mixed Numer Fractions are when fractions have a whole and a fraction. 1 2/3 is a mixed number fraction because there is a whole and a fraction.

To make a fraction of a set of a number such as 24, find out one quarter of 24 by dividing 24 by three which makes eight. 8 x 2 = 16, so two thirds of 24 is 16.

To find the percentage of one quarter (of 24) which is six, divide 100 by four because 100 is the maximum percentage. 100 divided by 4 is 25, so one quarter (6) of 24 as a percentage is 25%.

To find the decimal of 25%, which is equivalent to one quarter (6) of 24, divide 100 (which represents 1) by four again to equal 25 (which represents 0.25 in decimals). The decimal of one quarter (6) of 24 is 0.25.

Knowing how to identify equivalent, improper, proper and mixed number fractions is important because it can make finding the percentage or decimal of a number easier. By understanding percentages and decimals, it can also help with addition, subtraction, division or multiplication.

LI: to develop problem solving skills and to use new strategies within maths.

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