In this article we are going to learn how to reduce a fraction to lowest terms, multiply and divide fractions, add and subtract fractions, and comparing fractions that separated into ten section.
Due to fractions are not unique so, we can use many ways to express the same ratio just find equivalent fractions by multiplying or dividing the numerator and the denominator by the same real number.
Always reduce is a good practice to equivalent fractions in lowest terms that are generally preferred.
Improper fractions are okay and generally preferred in algebra but, in real world applications, mixed number equivalents are more preferred. We can present answers as improper fractions when the original question contains mixed numbers, or it is an answer to a real-life or geometric of application.
Multiplication fractions does not require a common denominator we can multiply the numerators and multiply the denominators to obtain the product and it is a best practice to cancel any common factors in the numerator and the denominator before multiplying in fractions.
Numerator is the number above the division line in a fraction. The number below the division line in a fraction is called denominator.
Learn the trick in Multiplying Fractions lesson. Multiplying fractions by multiply their numerators together and then multiply their denominators together.
How can we know the fractions are equal or which one is bigger/smaller? If the products of cross-multiplying fractions are equal then fractions are equal. When cross-multiplying fractions, the numerator with the bigger product tells you the bigger fraction (this rule applies for positive fraction only, in negative fraction might not work well).
Simplifying fractions by removing common factors. Cancelling out factors when a numerator and denominator have common factors.
Addition and subtraction fractions by using common denominators. To add or subtract fractions with the same denominator just add or subtract the numerators and write the sum over the common denominator. To add or subtract fractions with different denominators first, find the smallest multiple (LCM) of both numbers then rewrite the fractions as equivalent fractions with the LCM as the denominator.
Dividing by a fraction is the same as multiplying by its reciprocal.
The multiplicative inverse of a number is 1 divided by that number. The reciprocals of a number is 1 divided by that number or flip it over for a fraction.
Switching between mixed and improper fractions. When whole number and fraction together we called mixed number or mixed fraction. Improper fraction when numerator greater that denominator.
The distributive law works for multiplying and also dividing.
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