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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 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.
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