Express each of the following ratios in the simplest form:-(i)136:152(ii)0.3:0.9(iii)1/6:1/8:1/10(iv)42 minutes:1 whole 1/2 hoursPlease Give The Correct Answer With Explanation.........
Question
Express each of the following ratios in the simplest form:-(i)136:152(ii)0.3:0.9(iii)1/6:1/8:1/10(iv)42 minutes:1 whole 1/2 hoursPlease Give The Correct Answer With Explanation.........
Solution
(i) 136:152 To simplify this ratio, we need to find the greatest common divisor (GCD) of 136 and 152. The GCD of 136 and 152 is 8. So, we divide both numbers by 8. 136 ÷ 8 = 17 152 ÷ 8 = 19 So, the ratio 136:152 in simplest form is 17:19.
(ii) 0.3:0.9 To simplify this ratio, we can divide both numbers by their GCD. The GCD of 0.3 and 0.9 is 0.3. So, we divide both numbers by 0.3. 0.3 ÷ 0.3 = 1 0.9 ÷ 0.3 = 3 So, the ratio 0.3:0.9 in simplest form is 1:3.
(iii) 1/6:1/8:1/10 To simplify this ratio, we can multiply all terms by the least common multiple (LCM) of the denominators. The LCM of 6, 8, and 10 is 120. So, we multiply all terms by 120. 1/6 * 120 = 20 1/8 * 120 = 15 1/10 * 120 = 12 So, the ratio 1/6:1/8:1/10 in simplest form is 20:15:12.
(iv) 42 minutes:1 whole 1/2 hours First, we need to convert the hours into minutes. 1 whole 1/2 hours is 90 minutes. So, the ratio is 42 minutes:90 minutes. To simplify this ratio, we find the GCD of 42 and 90, which is 6. So, we divide both numbers by 6. 42 ÷ 6 = 7 90 ÷ 6 = 15 So, the ratio 42 minutes:1 whole 1/2 hours in simplest form is 7:15.
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