Saved Bookmarks
| 1. |
The HCF of 7/90, 14/15 and 7/10 is1. \(\frac{7}{90}\)2. \(\frac{14}{45}\)3. \(\frac{7}{45}\)4. None of the above |
|
Answer» Correct Answer - Option 1 : \(\frac{7}{90}\) Formula used: \(HCF \ of \ fractions =\frac{HCF \ of \ numerators}{LCM \ of \ denominators}\) Calculations: Factors of 7 = 7 × 1 Factors of 14 = 2 × 7 Hence HCF of numerators (7, 14) = 7 Factors of 90 = 2 × 3 × 3 × 5 ⇒ 21 × 32 × 51 Factors of 15 = 3 × 5 ⇒ 31 × 51 Factors of 10= 2 × 5 ⇒ 21 × 51 LCM of denominators (90, 15, 10) = 2 × 5 × 32 = 90 ∴ HCF of fractions 7/90, 14/15 and 7/10 is 7/90 |
|