Class 7 Maths - MP
Working with Fractions
In the chapter Working with Fractions, Class 7 students dive deeper into operations involving proper, improper, and mixed fractions. Building upon primary school basics, this chapter focuses on addition, subtraction, multiplication, and division of fractions, along with the concept of operators like 'of'. Fractions of physical quantities and decimal-fraction relationships are also explored. Mastering this chapter is essential for scoring well in MP Board examinations, as it forms the foundational arithmetic required for algebra, ratios, and word problems in higher classes. Regular practice of these step-by-step calculations ensures accuracy in both objective and subjective questions.
Start Learning FreeKey Concepts
Addition and Subtraction of Unlike Fractions
To add or subtract fractions with different denominators, first find the LCM of the denominators to convert them into like fractions, then operate on the numerators.
Multiplication of Fractions
Multiply the product of the numerators together to form the new numerator, and multiply the denominators together to form the new denominator.
Division of Fractions
To divide a fraction by another fraction, multiply the first fraction by the reciprocal (multiplicative inverse) of the second fraction.
Operator 'Of'
The word 'of' represents multiplication and is usually evaluated before other operations in fractional arithmetic.
Fraction as an Operator
A fraction can act on a whole number or quantity to find a part of that quantity, often translated as multiplication.
Important Formulas
Board Exam Info
In the MP Board Class 7 Mathematics annual examinations, the chapter 'Working with Fractions' typically carries around 6 to 8 marks. Questions frequently appear as 1-mark objective fillers, 2-mark simplification problems, and 3-mark word problems involving quantities and division.
Frequently Asked Questions
How do I add fractions with different denominators?
You must first find the Least Common Multiple (LCM) of the denominators, convert each fraction into an equivalent fraction with that LCM, and then add the numerators.
What is the reciprocal of a mixed fraction?
First, convert the mixed fraction into an improper fraction, and then flip the numerator and the denominator to find its reciprocal.
Does the word 'of' mean multiplication in fraction problems?
Yes, 'of' always indicates multiplication, and it is solved on a priority basis similar to brackets in BODMAS.
Learn Working with Fractions with Your AI Tutor
10 different ways to study this chapter. Free for 3 chapters per day.
Lecture
Key Points
Interactive
Quiz
Flashcards