NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 8: Ratio & Proportion - True or False QuestionsQuestion 17
Class 6 - Mathematics - Unit 8: Ratio & Proportion - True or False Questions
Question. 17
\(4:7 = 20:35\)
Answer:
true
Detailed Answer with Explanation:
Idea: Two ratios (a:b) and (c:d) are equal if (dfrac{a}{b} = dfrac{c}{d}).
- Write (20:35) as a fraction: (dfrac{20}{35}).
- Simplify the fraction:
(20 div 5 = 4)
(35 div 5 = 7) - So, (dfrac{20}{35} = dfrac{4}{7}).
- Therefore, (4:7 = 20:35).
Quick check (another way):
Multiply both terms of (4:7) by (5):
(4 imes 5 = 20), (7 imes 5 = 35).
So it becomes (20:35), which matches.