Understanding Fractions Fractions are a fundamental concept in mathematics, essential for various calculations and problem-solving. In the context of the 11-plu...
Fractions are a fundamental concept in mathematics, essential for various calculations and problem-solving. In the context of the 11-plus exam, it is crucial to master the following aspects of fractions:
Equivalent fractions are different fractions that represent the same value. For example, 1/2 is equivalent to 2/4. To find equivalent fractions, you can multiply or divide both the numerator and the denominator by the same number.
Problem: Find two equivalent fractions for 3/5.
Solution:
Simplifying fractions involves reducing them to their lowest terms. This is done by finding the greatest common divisor (GCD) of the numerator and denominator.
Problem: Simplify 8/12.
Solution:
To compare fractions, they need to have a common denominator. If they do not, find the least common multiple (LCM) of the denominators.
Problem: Compare 1/3 and 1/4.
Solution:
When adding or subtracting fractions with different denominators, convert them to a common denominator first.
Problem: Add 1/4 and 1/6.
Solution:
To multiply fractions, multiply the numerators and the denominators. To divide, multiply by the reciprocal of the second fraction.
Problem: Multiply 2/3 by 3/4.
Solution:
A mixed number consists of a whole number and a fraction, while an improper fraction has a numerator larger than its denominator. To convert, multiply the whole number by the denominator and add the numerator.
Problem: Convert 2 1/3 to an improper fraction.
Solution:
To find a fraction of an amount, multiply the amount by the numerator and divide by the denominator.
Problem: Find 2/5 of 20.
Solution:
Mastering these concepts will greatly enhance your ability to tackle fraction-related questions in the 11-plus exam. Practice regularly to build confidence and proficiency.