Math Notes Chapter 5 Operations with Fractions

5-1 Rounding Fractions To round a fraction to the nearest whole number – If the fraction is equal to or greater than 1/2, round _____. Otherwise, round _______. – find 1/5 is it closer to 1 or 2? 1 2

To round to the nearest ½ –If the numerator is almost as large as the denominator ______________________ 7/8 rounds to _______ –If the numerator is about half of the denominator ______________________ 2 3/8 rounds to ________ –If the numerator is much smaller than the denominator ______________________ 3 1/8 rounds to _______________________ –Homework:_______________________________________

5-3 Adding and subtracting fractions with like denominators Fractions with the same denominator are called ________________ When you ___________ or ___________ fractions, they must have like denominators. The denominator names the parts being added or subtracted. 4/18 + 3/18 = 7/18 Four eighteenthsplusthree eighteenthsequalsseven eighteenths 3 steps 1) 2) 3)

5-4 Adding and subtracting fractions with Unlike Denominators To add or subtract fractions, they must have like denominators Rename the fractions using the ____________________________ Add or subtract the numerators Simplify the sum or difference.

5-5 Adding and subtracting mixed numbers Add or subtract the fractions Then add or subtract the whole numbers Rename or simplify if necessary Rename to subtract Remember 1 whole is equal to all the fractional pieces together 1 = 2/2 or 3/3 or 4/4or To rename: 5 – 3 ½ 5 = -3 ½ =

5-7 Multiply Fractions To multiply fractions 3 Steps 1) 2) 3) Simplify

5-8 Multiply Mixed numbers Remember how to change mixed numbers into fractions Multiply the denominator by the whole number and add the numerator 3 Steps 1) Write the number as an improper fraction 2) multiply the fractions 3) Simplify

5-9 Divide Fractions Reciprocal ______________________________________________________ ______________________________________________________ Find the reciprocal of ¼ To divide by a fraction, multiply it’s reciprocal

5-10 dividing Mixed Numbers Write the mixed number as an improper fraction Multiply by the reciprocal Divide by the GCF Simplify