Simplification: BODMAS and Fraction-Based Sums BODMAS stands for Before, Outside, Inside, and After . This acronym applies to adding or subtracting mu...
BODMAS stands for Before, Outside, Inside, and After. This acronym applies to adding or subtracting multi-digit numbers and fractions with like denominators. Let's break it down:
Before: This includes numbers and variables already present in the expression.
Outside: This refers to numbers placed outside the parentheses before the grouping symbols.
Inside: This includes numbers and variables enclosed within the grouping symbols.
After: This refers to numbers and variables placed after the grouping symbols.
Fraction-based sums involve adding or subtracting fractions with different denominators. To add fractions with different denominators, we first need to find a common denominator, which is the smallest number that is divisible by both denominators. Then, we can add the numerators and simplify the resulting fraction.
Examples:
BODMAS addition: 5 + 3 - 4 = 6 / 2 = 3
BODMAS subtraction: 10 - 6 + 2 = 4 / 2 = 2
Fraction-based sum: 3/4 + 1/4 = 4/4 = 1
Tips for simplifying fractions:
Look for factors that divide both numerator and denominator.
Find the least common multiple (LCM) of the denominators.
Rewrite each fraction with the same denominator.
Add or subtract the numerators while maintaining the denominator.
Simplify the resulting fraction by dividing the numerator and denominator by the same common factor