Division of Fractions Division of fractions is a process in which two fractions are combined to form a new fraction with a denominator that is larger than t...
Division of Fractions
Division of fractions is a process in which two fractions are combined to form a new fraction with a denominator that is larger than the original denominators. This allows us to compare fractions with different sizes and perform mathematical operations on them.
Method:
Equivalent Fractions: Convert the fractions to equivalent fractions with a common denominator. This means finding a fraction with the same denominator as the original fractions.
Common Multiple: Determine the least common multiple (LCM) of the denominators of the fractions. This is the smallest integer that is divisible by both denominators.
Equivalent Fractions: Divide the numerators of the fractions by the denominators. This will give you the equivalent fractions.
Combine Fractions: Combine the equivalent fractions by adding their numerators together.
New Fraction: Represent the combined fraction using a mixed number or improper fraction, depending on the size.
Examples:
1. Divide 1/2 by 1/4.
Convert 1/2 to 2/4.
Find the LCM of 2 and 4: 4.
Divide 2/4 by 4/4: 1/2.
2. Divide 3/5 by 3/7.
Convert 3/5 to 6/10.
Find the LCM of 6 and 10: 10.
Divide 6/10 by 3/10: 2.
3. Divide 1/3 by 2/5.
Convert 1/3 to 5/15.
Find the LCM of 5 and 15: 15.
Divide 5/15 by 2/15: 1