Step-by-step simplification of a rational expression with variables and exponents.

$Simplified fraction with variables and exponents, showing 10cd² over 25c³d², broken down into prime factors and common terms.$

Simplified fraction with variables and exponents, showing 10cd² over 25c³d², broken down into prime factors and common terms.

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Show Answer Key & Explanations Step-by-step solution for: Greatest common factor of monomials

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- Factor the numerator and denominator:
- Numerator: $10cd^2 = 2 \cdot 5 \cdot c \cdot d \cdot d$
- Denominator: $25c^3d^2 = 5 \cdot 5 \cdot c \cdot c \cdot c \cdot d \cdot d$

- Cancel common factors:
- Cancel one 5 from numerator and denominator.
- Cancel one c from numerator and denominator.
- Cancel both d’s from numerator and denominator.

- Remaining factors:
- Numerator: $2$
- Denominator: $5 \cdot c \cdot c = 5c^2$

- Final simplified expression: $\frac{2}{5c^2}$

Parent Tip: Review the logic above to help your child master the concept of gcf monomials worksheet.

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