Grade 3 Math Fractions

Introduction for Grade 3 math fractions:

This article we are discussing about grade 3 math fractions. A part of a whole is called fraction. Fractions can be consisting of minimum two digits. The numerator is specified as top digits. The denominator is specified as bottom digits.

Numerator
denominator

An arithmetical expression relating digits or two quantities, one divided by the other is called fraction. The digits may be whole numbers of this is a rational number.

For example, 3/6 is a fraction. The digit 3 is numerator and digit 6 is a denominator. Grade 3 math fractions are used to solve the simple addition fraction, multiplication fraction and subtraction fraction.


Examples problem for grade 3 math fractions:


Example 1: Add the fractions for given two fraction, `10/5` + `7/5` .

Solution:

The given two fractions are `10/5` + `7/5`

The same denominators of the two fractions, so

= `10/5` + `7/5`

Add the numerators the 10 and 7 = 10+7 = 17.

The same denominator is 5.

= `17/5`

The addition fraction solution is `17/5` .

Example 2: Subtract the fractions for given two fractions, `10/5` - `7/5` .

Solution:

The given two fractions are `10/5` - `7/5`

The same denominators of the two fractions, so

= `10/5` - `7/5`

Subtract the numerators the 10 and 7 = 10-7 = 3.

The same denominator is 5.

The addition fraction solution is `3/5` .

Example 3: Multiply the fractions for given two fraction, `10/6` * `7/6` .

Solution:

The given two fractions are `10/6` * `7/6`

The same denominators of the two fractions, so

= `10/6` * `7/6`

Multiply the numerators the 10 and 7 = 10*7 = 70.

Multiply the denominators the 6 and 6 = 6 * 6 = 36

= `70/36`

The addition fraction solution is `70/36` .

Example 4: Add the fractions for given two fraction `3/4 ` + `2/5`

Solution:

The denominator is different so we take a least common denominator (LCD)

LCD = 4 * 5 = 20

So multiply and divide by 5 in first term we get

`(3 * 5) / (4 * 5)`

=`15/20`

Multiply and divide by 4 in second terms

= `(2*5) / (5*4)`

= `10/20`

The denominators are equals

So adding the numerator directly

= `(15+10)/20`

Simplify the above equation we get

= `25/20`

Therefore the final answer is `5/4` .

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Practices problems for grade 3 math fractions:


Problem 1: Add the two fraction `5/6` + `7/6`

Solution: `12/6`

Problem 2: Subtract two fractions `5/6` – `3/6`

Solution: `2/6`

Problem 3: multiply two fractions `5/6` * `5/6`

Solution: `5/6`