Operations with Fractions. Parts of a Fraction Integer Numerator Denominator Mixed Number.

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Presentation transcript:

Operations with Fractions

Parts of a Fraction Integer Numerator Denominator Mixed Number

Combining Fractions 1.Find the Least Common Multiple among the denominators -That is the smallest number that can be divided by all denominators in the problem 2.For each fraction, multiply the numerator and denominator by a number that will make the denominator the LCM 3.Perform the indicated operation -Keep the denominator -Add or subtract the numerators 4.Simplify, if necessary LCM = 18

Examples Simplify

Converting Mixed Numbers 1.Keep the denominator the same for the improper fraction 2.Find the equivalent numerator -Ignore any signs -Multiply the integer with the denominator -Add that product to the numerator 3.Simplify, if necessary, and include the sign

Examples Convert to improper fractions

Operations with Mixed Numbers Convert the mixed number to an improper fraction Perform the indicated operation – Remember to find an LCM for addition and subtraction – Remember that divide means to multiply by the reciprocal – Remember that multiply is done across with both the numerator and denominator

Examples Simplify