How to Subtract Mixed Numbers Step by Step (With Examples)
FAQs on Subtracting Mixed Numbers with Unlike Denominators – Grade 6 Worksheet
1. How do you subtract mixed numbers with unlike denominators step by step?
To subtract mixed numbers with unlike denominators, you first ensure the fractions have a common base before subtracting. This Grade 6 Maths concept can be mastered by following these clear steps:
- Step 1: Convert both mixed numbers into improper fractions.
- Step 2: Find the Least Common Multiple (LCM) to get a common denominator for both fractions.
- Step 3: Create equivalent fractions using the new common denominator.
- Step 4: Subtract the numerators of the new fractions.
- Step 5: If the result is an improper fraction, convert it back to a mixed number and simplify to its lowest terms.
2. What is the first step in subtracting mixed numbers with different denominators?
The most crucial first step when subtracting mixed numbers is to find a common denominator for the fraction parts. Before you can subtract, the parts you are working with must be of the same size. To do this, you find the Least Common Multiple (LCM) of the two different denominators. For example, to solve a problem like 7 1/4 – 2 2/3, you would first find the LCM of 4 and 3, which is 12.
3. How do you subtract mixed numbers when borrowing is needed?
Borrowing, or regrouping, is necessary when the fraction you are subtracting is larger than the fraction you are subtracting from. This is a key skill in fraction subtraction practice for Grade 6 students.
- First, borrow '1' from the whole number part of the first mixed number.
- Convert this '1' into a fraction with the same denominator as the existing fraction (e.g., if the denominator is 5, '1' becomes 5/5).
- Add this new fraction to the original fraction part.
- Finally, subtract the whole numbers and the newly adjusted fractions separately.
4. Why is finding a common denominator important for subtracting fractions?
Finding a common denominator is essential because you can only add or subtract fractions that represent parts of the same whole. Think of it like this: you cannot subtract 2 apples from 5 oranges directly. By finding a common denominator, you convert the fractions into equivalent fractions of the same 'type' or size, allowing for a meaningful and accurate subtraction.
5. Does this Class 6 Maths worksheet include an answer key?
Yes, this printable maths worksheet comes with a complete answer key. The provided solutions are fully worked out, allowing students and parents to check their answers and understand the correct method for each problem. Having a worksheet with answers is perfect for self-assessment, homework help, and exam revision.
6. Is this subtracting mixed numbers worksheet suitable for CBSE Class 6 Maths?
Absolutely. This worksheet on subtracting mixed numbers is designed in alignment with the NCERT curriculum and is perfectly suitable for CBSE Class 6 Maths students. The questions, including those with denominators up to 60, match the complexity and learning objectives specified in the Grade 6 syllabus for fractions.
7. How can this printable worksheet help in preparing for exams?
This Grade 6 maths worksheet is an excellent resource for exam preparation as it strengthens core fraction subtraction skills. Consistent practice with these targeted questions helps students to:
- Master the steps of subtracting mixed numbers with unlike denominators.
- Improve speed and accuracy in finding common denominators.
- Gain confidence in handling problems that require borrowing or regrouping.
- Practice reducing answers to their simplest form, a common requirement in exams.
8. What topics are covered in this Grade 6 fractions worksheet?
This comprehensive fraction worksheets for grade 6 with answers PDF covers several key subtopics within fraction subtraction. Students will get practice on:
- Subtracting mixed numbers from other mixed numbers.
- Working with unlike denominators up to 60.
- The process of regrouping (borrowing) from the whole number.
- Converting between improper fractions and mixed numbers.
- Simplifying final answers to their lowest terms.
9. Can you subtract mixed numbers without finding a common denominator?
No, you cannot accurately subtract the fraction parts of mixed numbers without first finding a common denominator. The denominators indicate the total number of equal parts a whole is divided into. To subtract, these parts must be the same size. The process of finding a common denominator ensures you are subtracting comparable quantities, which is a fundamental rule of fraction subtraction.
10. How do word problems on this worksheet help with learning?
The inclusion of fraction subtraction word problems helps students apply mathematical concepts to real-world situations. This is important because it moves learning beyond simple calculation and encourages critical thinking. By solving word problems, students learn to identify the necessary information, set up the subtraction problem correctly, and interpret the final answer in a practical context, thereby improving their overall problem-solving skills.
