Operations with monomials as fractions — lesson. Mathematics CBSE, Class 7.

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When performing operations with monomials as fractions, the mathematical transformations are the same as in common fractions.

Example:

Add the monomials

\frac{5 x^{2} y}{4} + \frac{7 x^{2} y}{4}

1) Add the expressions in the numerators.

2) If possible, reduce the numeric factors of the numerator and the denominator.

Example:

Subtract the monomials

\frac{a^{4} b^{2}}{8} - \frac{2 a^{4} b^{2}}{3}

1) Make denominators the same.

2) Subtract the expressions in the numerators.

This fraction cannot be simplified.

Example:

Multiply the monomials

\frac{7 m^{3}}{2} \cdot \frac{mn}{5}

1) When multiplying the fractions, multiply the numerators and multiply the denominators.

2) Multiply the variables by adding their exponents. Remember: if the exponent of a variable factor is not specified, then it is \(1\).

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7. Operations with monomials as fractions