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It is a part of a whole.

Example :

In the given figure out of 4 parts,1 part is shaded The shaded part represents one-fourth of the whole piece. One-fourth is written as ¼ .
Unshaded parts are 3 out of 4. Therefore, unshaded part represent three-fourth of the whole piece. Three-fourth is written as ¾ .
More examples:

1) The fract-ion 7/10 can be written in word as "seven tenth" which means 7 parts out of 10 equal parts, in which the whole is divided. In the fract-ion 5/3, 5 is the numerator and 3 is the denominator.

2) The fract-ion 3/7 can be written in word as "three-seventh" which means 3 parts out of 7 equal parts, in which the whole is divided. In the fract-ion 3/7, 3 is the numerator and 7 is the denominator.

Whatever number on the top is called Numerator and the number in the bottom is called Denominator.

Example :

1) What frac-tion of a day is 9 hours?
Solution :

One day = 24 hours

9 hours of a day = 9/24

9 hours out of 24 hours, hence 9 hours is 9/24 parts of a day.
2) Find 4/5 of a collection of 10 balloons.

Solution :

4/5 means 4 parts out of 5. So first we find 1 part out of 5 and then multiply by 4.

For 1/5 , we have divide 10 by 5. So, 10 ÷ 5 = 2

∴ For 4/5, we have 2 x 4 = 8 balloons.

Thus, 8 balloons is 4/5 of 10 balloons.

3) What fract-ion of an hour is 35 minutes?

Solution :

1 hour = 60 min.

∴ 35 min = 35 / 60

i.e. 35 minutes out of 60 minutes. Hence, 35 minutes is 35 / 60

parts of day.

Types of Fract-ions
Conversion of improper to mixed-fract-ions
Equivalent Fract-ions
Fract-ions in Simplest form
Like and Unlike-Fract-ions
Add - fract-ions
Subtraction of fract-ions
Number System

7th grade math

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