Class 7 Maths - MAHARASHTRA
Working with Fractions
In the Class 7 Maharashtra State Board (MSBSHSE) Mathematics chapter 'Working with Fractions', students dive deeper into operations with rational numbers and fractions. Building on Class 6 concepts, this chapter covers the addition, subtraction, multiplication, and division of proper, improper, and mixed fractions, along with the concept of reciprocals. Mastering this chapter is essential for board exams as it forms the foundational building block for algebra, ratio and proportion, and word problems. Scoring well here boosts overall math confidence and secures easy marks in both objective and descriptive question formats.
Start Learning FreeKey Concepts
Like and Unlike Fractions
Like fractions have the same denominator, making them easy to add or subtract directly. Unlike fractions have different denominators and require finding the Least Common Multiple (LCM) before performing addition or subtraction.
Multiplication of Fractions
To multiply two fractions, simply multiply their numerators together to get the new numerator, and their denominators together to get the new denominator.
Reciprocal (Multiplicative Inverse)
The reciprocal of a fraction is obtained by flipping its numerator and denominator. When a non-zero fraction is multiplied by its reciprocal, the product is always 1.
Division of Fractions
To divide one fraction by another, you multiply the first fraction by the reciprocal of the second fraction (keep-change-flip method).
Conversion of Mixed Fractions
Mixed fractions can be converted into improper fractions by multiplying the whole number by the denominator, adding the numerator, and placing the result over the original denominator.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 7 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include simplifying numerical expressions involving multiple operations (BODMAS with fractions), word problems based on daily life situations, and direct conversion or calculation problems.
Frequently Asked Questions
Why do we need to find the LCM when adding unlike fractions?
We find the LCM to make the denominators the same (converting them to like fractions), because you can only directly add or subtract numerators when denominators are identical.
How do I divide a whole number by a fraction?
Write the whole number as a fraction with a denominator of 1 (e.g., 5 becomes 5/1), then multiply it by the reciprocal of the divisor fraction.
Should I always reduce my final fraction answer to its lowest terms?
Yes, unless the question specifies otherwise, it is a standard rule in mathematics and board exams to simplify your final fraction answer to its irreducible (simplest) form.
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