Multiplying fractions is all about division
When multiplying 2 fractions, we multiply the two numerators together and the two denominators together.
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In order to multiply fractions with variables, factor all numerators and denominators completely. Use the rules for multiplying and dividing fractions, cancel any common factors, and leave your final answer in factored form.
Dividing fractions involves flipping the second fraction (taking its reciprocal) and then multiplying. For example, to divide ( \frac{a}{b} ) by ( \frac{c}{d} ), you convert it to ( \frac{a}{b} \times \frac{d}{c} ). In contrast, multiplying fractions directly involves multiplying the numerators and the denominators together without any changes. Thus, while both operations involve fractions, the process and the mathematical rules applied are distinctly different.
Multiplying and dividing integers and rational numbers follow the same fundamental rules. In both cases, the product of two numbers is determined by multiplying their absolute values and applying the appropriate sign rules. Similarly, division involves inverting the divisor and multiplying, maintaining the same sign conventions. Thus, the processes are consistent, with rational numbers simply extending the concept to fractions.
Because common denominators allow adding and subtracting of numerators. Improper fractions also have simplified rules over mixed numbers when performing multiplication and division.
This is what comes to mind:DecreeDemandRuling
The usual rules of addition of fractions apply.
You multiply the fractions until the denominators are equal. Then, you subtract.
Ensure that the denominators are the same when adding or subtracting fractions.
Step 1 Make the whole number a fraction by making it ?/1 Step 2 Make the mixed number a improper fraction by multiplying the denominator by the whole number and then adding the numerator and putting that on top of the original denominator. Step 3 SOLVE using basic multiplying fractions rules Step 4 SIMPLIFY
i think divisibility rules help with fractions because it helps you reduce the fraction to make i a simple fraction.