NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions
Question 128

Question. 128

What fraction of a straight angle is a right angle?

Answer:

\(\dfrac{1}{2}\)

Detailed Answer with Explanation:

Step 1: Recall the sizes.

Right angle = \(90^{\circ}\)

Straight angle = \(180^{\circ}\)

Step 2: Write the fraction (part over whole).

Fraction = \(\dfrac{\text{size of right angle}}{\text{size of straight angle}}\)

Step 3: Substitute the values.

\(\dfrac{90^{\circ}}{180^{\circ}}\)

Step 4: Cancel the degree symbol.

\(\dfrac{90}{180}\)

Step 5: Simplify by dividing numerator and denominator by \(90\).

\(\dfrac{90\div 90}{180\div 90} = \dfrac{1}{2}\)

Answer: A right angle is \(\dfrac{1}{2}\) of a straight angle.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – Problems and Solutions | Detailed Answers