Below are six versions of our grade 5 math worksheet on subtracting mixed numbers from mixed numbers where the fractional parts have different denominators. These worksheets
are pdf files. 5 More  Become a Member These bonus worksheets are available to members only. Join K5 to save time, skip ads and access member only features. Learn More More fractions worksheetsExplore all of our fractions worksheets, from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers. Fractions which are more than a whole are known as mixed fractions or mixed numbers. For instance: Nicholas has 3 chocolates, and each chocolate has 3 bars. He eats 7 bars of chocolate, which means 2 whole chocolates and 1 bar of the third chocolate.
How to Subtracting mixed numbers?
Follow the given steps to subtract mixed numbers with same denominators: Step 1– Subtract the wholes. Step 2– Convert the fractions into improper fractions. Step 3– Subtract the fraction. Step 4– Change the improper fraction into a mixed number if needed. Step 5– Write the mixed number with wholes and the fraction. Example 1: 5 7⁄3 – 3 2⁄3 Step 1 – Subtract 3 from 5. 5 – 3 =2 Step 2 – Subtract the fractions: 7⁄3 – 2⁄3 Step 3 – Write the fraction with whole. 5 7⁄3 – 3 2⁄3 =
2 5⁄3
Follow the given steps to subtract mixed numbers with different denominators: Step 1– Convert the mixed numbers into improper fractions. Step 2– Find the common multiple of both the denominators. Step 3– Convert the fractions as common denominators. Step 4– Solve the fractions. Step 5– Convert the fraction as a mixed number. Example 2: 6 1⁄2 – 1 3⁄4 Step 1– Convert the mixed numbers into improper fractions. 1 3⁄2 – 7⁄4 Step 2– Find the common multiple of both the denominators 2 and 4. The common multiple of 2 and 4 is 4. Step 3– Convert the fractions as common denominators. Step 4– Solve the fractions 26⁄4 – 7⁄4 = 19⁄4 Step 5– Convert the fraction as a mixed number. 19⁄4 = 4 3⁄4 We will learn how to solve subtraction of mixed fractions or subtraction of mixed numbers. There are two methods to subtract the mixed fractions. 1. Subtract 3\(\frac{1}{12}\) from 3\(\frac{1}{12}\). Solution: Method I.
Method II:
2. Subtract 1\(\frac{5}{12}\) from 3\(\frac{3}{8}\) Solution: We first convert the mixed numbers into improper fractions. 1\(\frac{5}{12}\) = \(\frac{1 × 12 + 5}{12}\) = \(\frac{17}{12}\) 3\(\frac{3}{8}\) = \(\frac{3 × 8 + 3}{8}\) = \(\frac{27}{8}\) Now, \(\frac{27}{8}\) - \(\frac{17}{12}\) = \(\frac{27 × 3}{8 × 3}\) - \(\frac{17 × 2}{12 × 2}\) LCM of 8 and 12 is 24 \(\frac{81}{24}\) - \(\frac{34}{24}\) = \(\frac{81 - 34}{24}\) = \(\frac{47}{24}\) = 1\(\frac{23}{24}\) Hence, 3\(\frac{3}{8}\) - 1\(\frac{5}{12}\) = 1\(\frac{23}{24}\) Word Problems on Subtraction of Mixed Fractions: 3. Ron used 3\(\frac{1}{4}\) litres of paint from a tin of 5\(\frac{1}{2}\) l, to color the walls of his room. What fraction of paint is still left in the tin? Answer: \(\frac{9}{4}\) litres 4. Sam has a cloth of length 16 m. He took 13\(\frac{1}{4}\) m of cloth from it to make curtains for the house. How much cloth is still left with him for further use? Answer: 2\(\frac{3}{4}\) m 5. Ten years ago a forest was spread up to a distance of 33 km. Due to forest fires and industrial set up now it is spread upto a distance of 16\(\frac{1}{5}\) km. What fraction of forest has been destroyed in the last 10 years? What measures can be taken to protect these forests? Answer: 16\(\frac{4}{5}\) km 6. A drum full of rice weighs 84\(\frac{1}{2}\) kg. If the weight of empty drum is 12\(\frac{1}{6}\) kg, find the weight of the rice. Answers: 72\(\frac{1}{3}\) kg You might like these
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How do you subtract two mixed numbers with different denominators?To subtract mixed numbers with different denominators, follow these steps:. Rename the fractions using a common denominator.. Subtract whole numbers from whole numbers. You might need to regroup first.. Subtract fractions from fractions. .. Simplify, if needed.. How do you subtract mixed numbers step by step?Step 1– Convert the mixed numbers into improper fractions. Step 2– Find the common multiple of both the denominators. Step 3– Convert the fractions as common denominators. Step 4– Solve the fractions.
How do you subtract fractions with different denominators step by step?How To Subtract Fractions With Different Denominators. 4 easy steps on how to subtract fractions with different denominators:. Step 1: Find the least common denominator. ... . Step 2: Find the equivalent fraction. ... . Step 3: Subtract the new numerators. ... . Step 4: Simplify the answer if necessary.. |
How do you subtract mixed numbers with different denominators
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