35 Adding Fractions Add 1 1 2 Estimate the sum x = 5 5 8 8 40 32 40 67 = 12740 Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:

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Presentation transcript:

35 Adding Fractions Add Estimate the sum x = = Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8: 8, 16, 24, 32, 40 ~ 5: 5, 10, 15, 20, 25, 30, 35, 40 ~ The LCM is 40. Change both denominators to 40...then change both numerators Add the new numerators, then keep the denominator the same. mixed number Convert to a mixed number. Is the sum close to the estimate? 40..

Adding Fractions..

18 Adding Mixed Numbers (As Mixed Numbers) Add Estimate the sum x = = Find the least common denominator ~...(find the LCM of 10 and 4).. ~ 10: 10, 20, 30, 40 ~ 4: 4, 8, 12, 16, ~ The LCM is 20. Change both denominators to 20...then change both numerators Add the new numerators, then keep the denominator the same. mixed number Convert to a mixed number. Is the sum close to the estimate? Add the whole numbers to the sum

19 Add Estimate the sum x x Convert each mixed number to an improper fraction. 3. Find the common denominator of 10 and 4. ~ 10: 10, 20, 30, 40 ~ 4: 4, 8, 12, 16, The least common denominator is Rewrite both fractions with a denominators of Add the new numerators, but keep the denominator the same. 6. Simplify (reduce). 8. Is the sum close to the estimate? Adding Mixed Numbers (As Improper Fractions) x x x x = = = = mixed number 7. Convert it back to a mixed number...

39 Subtracting Fractions Subtract Estimate the difference x = Find the least common denominator ~...(find the LCM of 14 and 6) ~ 14: 14, 28, 42, 56, 70, ~ 6: 6, 12, 18, 24, 30, 36, ~ The LCM is 42. Change both denominators to 42...then change both numerators Subtract the new numerators, then keep the denominator the same. Simplify by finding the GCF ~ 4: 1, 2, 4 ~ 42: 1, 2,... Is the sum close to the estimate? – 5656 – ÷ = 2 2 –..

Subtracting Fractions..

Estimate the difference Find the least common denominator ~ 3: 3, 6, 9, 12, 15, 18, 21, 24 ~ 8: 8, 16, 24 ~ The LCM is Change both denominators to 24...then change both numerators 5.Subtract the new numerators, then keep the denominator the same –– 6. Is the estimate close to the difference? Subtracting Mixed Numbers (as improper fractions) 23 3 x x 8 8 = = x x 3 3 = = Convert both mixed numbers to improper fractions...

Rewrite each mixed number by borrowing Take one from 4 (now you have 3...)...then add it back to the fraction \ = Remember: 1 = 9999 Subtracting Mixed Numbers (as mixed numbers) = = = =..

16 Subtracting Mixed Numbers (as mixed numbers) Estimate the difference x = Find the least common denominator ~...(find the LCM of 3 and 8).. ~ 3: 3, 6, 9, 12, 15, 18, 21, 24 ~ 8: 8, 16, 24 ~ The LCM is 24. Change both denominators to 24...then change both numerators Subtract the new numerators, then keep the denominator the same – To avoid negative fraction, let’s borrow from the whole number Take one from 7 (now you have 6...)...then add it back to the fraction \ = – Is the estimate close to the difference?..

Adding Mixed Numbers Subtracting Mixed Numbers..

Estimate the product.  4 9 = 36 Convert each to a simple fraction = \ \ = 40 Cross-simplify. Multiply numerators, then denominators Simplify the product. Multiplying Fraction and Mixed Numbers

Multiplying Fraction and Mixed Numbers..

Dividing Fractions and Mixed Numbers Original number FractionReciprocal = = 6. 1 = =..

3 8 5 ÷ 9 Estimate the quotient.  5 ÷ 9  1212 Convert each to a simple fraction 5 1 ÷ 75 8 = \ \ Cross-simplify. Multiply numerators, then denominators Dividing Fractions and Mixed Numbers Keep the first fraction the same Change the division to multiplication Flip the 2 nd fraction..

Dividing Fractions and Mixed Numbers..

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