3 Ways to Solve Fraction Questions in Math
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Fractions are an important and unavoidable part of math. They can be tricky for many, but with the right strategies, solving fraction-related questions becomes a lot simpler. In this article, we will discuss three ways to solve fraction questions in math.
1. Simplifying Fractions
One of the easiest techniques to master in dealing with fractions is simplification. Simplifying fractions means reducing them to their simplest form, thereby making it easier to perform operations like addition, subtraction, multiplication, or division.
To simplify a fraction:
– Identify the greatest common divisor (GCD) of the numerator and denominator (i.e., the largest number that divides both without leaving a remainder).
– Divide both the numerator and denominator by the GCD.
– The result is your simplified fraction.
For example, if you have the fraction 8/12:
– The GCD of 8 and 12 is 4.
– Divide both numbers by 4 (8 ÷ 4 = 2, 12 ÷ 4 = 3).
– The simplified fraction is 2/3.
2. Converting Improper Fractions to Mixed Numbers
Improper fractions are those where the numerator is larger than the denominator (e.g., 5/3). Converting improper fractions into mixed numbers makes them more manageable and easy to understand.
To convert an improper fraction to a mixed number:
– Divide the numerator by the denominator.
– Write down the quotient as your whole number.
– The remainder will be your new numerator while retaining the original denominator.
– Express this result as a mixed number.
Using our example of 5/3:
– Divide 5 by 3 (5 ÷ 3) with a quotient of 1 and a remainder of 2.
– The whole number is ‘1,’ and our new numerator remains ‘2.’
– Our mixed number is 1 (2/3).
3. Finding the Lowest Common Denominator (LCD)
When working with fractions, it is crucial to find the lowest common denominator (LCD) to perform operations like addition or subtraction, which require the denominators to be the same.
To find the LCD of two or more fractions:
– Write down multiples of each denominator until you find a common multiple.
– The smallest common multiple is your LCD.
For example, if you have fractions 5/6 and 3/4:
– Multiples of 6: 6, 12, 18, …
– Multiples of 4: 4, 8, 12, …
– The first common multiple is 12. So, our LCD is 12.
In conclusion, solving fraction questions in math can be daunting for some; however, mastering these three techniques of simplifying fractions, converting improper fractions to mixed numbers, and finding the lowest common denominator can make it a lot easier. Practice these strategies and build your confidence in handling fraction problems with ease.