Class 6 · Chapter 7

Fractions

Proper, improper and mixed fractions; equivalent fractions; comparison; addition and subtraction of fractions.

Watch this chapter

Read the full chapter

Tip: open the NCERT PDF for the original chapter text alongside the notes here.

Detailed theory

A fraction

p/q

(

q\ne 0

) represents

p

parts of a whole divided into

q

equal parts. Numerator =

p

, denominator =

q

Key concepts & formulas

\dfrac{p}{q}

p

is the numerator,

q

is the denominator (

q \ne 0

Proper fraction:

p < q

; Improper:

p \ge q

Equivalent fractions have the same value: multiply/divide num & den by the same non-zero number.

To add fractions, take LCM of denominators.

\dfrac{p}{q} = \dfrac{r}{s} \iff ps = qr