Prove Sum of Like Fractions

We have learned about real number properties of identity elements, distributive property, and commutative property. Now it is time to see these properties in the simplest example. Go through the proof by focusing on which real number properties are being applied when two fractions with the same denominator (also called like fractions) are being added together.

Press start to start the proof. Choose the correct option from the given options. Click on the ? at the end of a statement to see the explanation for that step. Get all steps correct to pass the stage.

Prove That $\dfrac{a}{c} + \dfrac{b}{c} = \dfrac{a + b}{c}$

$L.H.S. = \dfrac{a}{c} + \dfrac{b}{c}$

$= \dfrac{1}{c} \cdot a + \dfrac{1}{c} \cdot b$

$= \dfrac{1}{c} \cdot \left(a + b\right) \quad \text{[Distributive Property]}$

$= \dfrac{a+b}{c} = R.H.S$

End of Lesson

Prove Sum of Like Fractions

Prove That ac+bc=a+bc\dfrac{a}{c} + \dfrac{b}{c} = \dfrac{a + b}{c}ca​+cb​=ca+b​

Prove That $\dfrac{a}{c} + \dfrac{b}{c} = \dfrac{a + b}{c}$