Further simplifying of ‘stacked fractions’

Overview of ‘Stacked Fractions’ Simplification

Stacked fractions are fractions where the numerator, denominator, or both, are also fractions.
Simplifying these fractions involves a sequence of operations such as multiplication, division, addition, subtraction or a combination of these.
Understanding and applying the BIDMAS (Brackets, Indices, Division and Multiplication, Addition and Subtraction) rule is essential when dealing with stacked fractions.

Basic Simplification Process

Initially, apply the BIDMAS rule to evaluate any operations inside the brackets.
If there is an operation between two fractions, such as addition or subtraction, make sure the fractions have a common denominator before proceeding.
For multiplication of fractions, simply multiply the top numbers (numerators) and the bottom numbers (denominators) separately.
Division of fractions involves flipping the second fraction (reciprocal) and then multiplying.

Examples of ‘Stacked Fractions’ Simplification

Consider the stacked fraction (1/2) / (3/4). Inverting the second fraction and then multiplying gives 1/2 * 4/3 = 4/6, which when simplified gives 2/3.
For a mixed fraction such as 2(1/4): consider the major part of the fraction (2) and the fractional part (1/4) separately before addition or any other operation.

Key Points to Remember

Always remember the BIDMAS rule to ensure the order of operations is preserved.
Simplifying fractions involves making the numerator and denominator as small as possible but still keeping the same value.
For division of fractions, remember to invert the second fraction before multiplication.
When you encounter a mixed fraction, deal with the integral part and the fractional part separately.