CROSS PRODUCT OF A PAIR OF EQUIVALENT FRACTIONS

Cross product of a equivalent fraction is always equal.
Consider a equivalent fraction $1/3$ and $3/9$
First check whether the fraction is equivalent.
Multiply numerator and denominator of the fraction $1/3$ with 3, we get.

${1×3}/{3×3}$ => we get => $3/9$.
So $1/3$ and $3/9$ are equivalent fractions.

LET DO THE CROSS MULTIPLICATION

L.H.S R.H.S 1 3 = 3 9 × × 9 = 9
Application of Cross Multiplication
Cross multiplication is used to check whether the two given fractions are equivalent.

Question:Check whether $3/6$ and $5/10$ are equivalent fractions .

L.H.S R.H.S 3 6 = 5 10 × × L.H.S =>3×10= 30 R.H.S =>5×6= 30 Since cross multiplication is equal So the fractions are equivalent

Question:Check whether $3/6$ and $4/6$ are equivalent fractions .

L.H.S R.H.S 3 6 ≠ 4 6 × × L.H.S =>3×6= 18 R.H.S =>4×6= 24 Since cross multiplication is NOT equal So the fractions are NOT equivalent