Add and Subtract Fractions 3
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Question 1 of 5
1. Question
Subtract the following23-31023−310Write the fraction in the format “a/b”- (11/30)
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Subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsMethod OneStart with listing out multiples of 33 and 1010Multiples of 33:36912151821242730333691215182124273033Multiples of 1010:10203040501020304050The LCDLCD of 33 and 1010 is 3030Use the LCDLCD as the denominator for both fractions then proceed with subtracting.23-31023−310 == 2×103×10−3×310×32×103×10−3×310×3 Multiply each fraction so that their denominator becomes 3030 == 2030−9302030−930 Subtract the numerators == 11301130 Keep the same denominator 11301130Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.23-31023−310 == ☐3×10 = ☐30 To get the numerator, cross multiply the given addition problem and subtract the products.23−310 = (2×10)−(3×3)30 = 20-930 = 1130 1130 -
Question 2 of 5
2. Question
Subtract the following45-520Write the fraction in the format “a/b”- (11/20)
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Subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsStart with listing out multiples of 5 and 20Multiples of 5:510152025Multiples of 8:204060The LCD of 5 and 20 is 20Use the LCD as the denominator for both fractions then proceed with subtracting.45-520 = 4×45×4−520 Multiply by 4 so that the denominator becomes 20 = 1620−520 Subtract the numerators = 1120 Keep the same denominator 1120 -
Question 3 of 5
3. Question
Subtract the following14-15Write the fraction in the format “a/b”- (1/20)
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Subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsMethod OneStart with listing out multiples of 4 and 5Multiples of 4:481216202428Multiples of 5:51015202530The LCD of 4 and 5 is 20Use the LCD as the denominator for both fractions then proceed with subtracting.14-15 = 1×54×5−1×45×4 Multiply each fraction so that their denominator becomes 20 = 520−420 Subtract the numerators = 120 Keep the same denominator 120Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.14-15 = ☐4×5 = ☐20 To get the numerator, cross multiply the given addition problem and subtract the products.14−15 = (1×5)−(4×1)20 = 5-420 = 120 120 -
Question 4 of 5
4. Question
Subtract the following78-23Write the fraction in the format “a/b”- (5/24)
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Subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsMethod OneStart with listing out multiples of 8 and 3Multiples of 8:816243240Multiples of 3:369121518212427The LCD of 8 and 3 is 24Use the LCD as the denominator for both fractions then proceed with subtracting.78-23 = 7×38×3−2×83×8 Multiply each fraction so that their denominator becomes 24 = 2124−1624 Subtract the numerators = 524 Keep the same denominator 524Method TwoFirst, multiply the two denominators. Use the product as a denominator for a new fraction.78-23 = ☐8×3 = ☐24 To get the numerator, cross multiply the given addition problem and subtract the products.78−23 = (7×3)−(8×2)24 = 21-1624 = 524 524 -
Question 5 of 5
5. Question
Subtract the following12+25-310Write the fraction in the format “a/b” and express in lowest terms- (3/5)
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Chapters- Chapters
Add and subtract fractions with unlike denominators by transforming the fractions so that they have the like denominatorsStart with listing out multiples of 2, 5 and 10Multiples of 2:24681012Multiples of 5:5101520Multiples of 10:102030The LCD of 2, 5 and 10 is 10Use the LCD as the denominator for the fractions then proceed with solving.12+25-310 = 1×52×5+2×25×2−310 Multiply the fractions so that the denominator becomes 10 = 510+410−310 Solve only the numerators = 610 Keep the same denominator = 6÷210÷2 Express in lowest terms = 35 35
Quizzes
- Shaded Fractions 1
- Shaded Fractions 2
- Equivalent Fractions 1
- Equivalent Fractions 2
- Equivalent Fractions 3
- Equivalent Fractions 4
- Simplify Fractions 1
- Simplify Fractions 2
- Simplify Fractions 3
- Find the Lowest Common Denominator
- Comparing Fractions 1
- Comparing Fractions 2
- Comparing Fractions 3
- Mixed and Improper Fractions 1
- Mixed and Improper Fractions 2
- Mixed and Improper Fractions 3
- Add and Subtract Fractions 1
- Add and Subtract Fractions 2
- Add and Subtract Fractions 3
- Add and Subtract Fractions 4
- Multiply and Divide Fractions 1
- Multiply and Divide Fractions 2
- Multiply and Divide Fractions 3
- Add and Subtract Mixed Numbers 1
- Add and Subtract Mixed Numbers 2
- Add and Subtract Mixed Numbers 3
- Multiply and Divide Mixed Numbers 1
- Multiply and Divide Mixed Numbers 2
- Multiply and Divide Mixed Numbers 3
- Multiply and Divide Mixed Numbers 4
- Fraction Word Problems: Addition and Subtraction 1
- Fraction Word Problems: Addition and Subtraction 2
- Fraction Word Problems: Addition and Subtraction 3
- Fraction Word Problems: Addition and Subtraction 4
- Fraction Word Problems: Multiplication and Division
- Find the Fraction of a Quantity
- Find the Quantity of a Quantity 1
- Find the Quantity of a Quantity 2
- Find the Fraction of a Quantity: Word Problems 1
- Find the Fraction of a Quantity: Word Problems 2
- Find the Fraction of a Quantity: Word Problems 3
- Find the Fraction of a Quantity: Word Problems 4
- Find the Quantity of a Quantity: Word Problems
- Order of Operations Involving Fractions 1
- Order of Operations Involving Fractions 2