If l : m =2(1/2):1(2/3) and m : n = 1(1/4):3(1/2), find l : m : n.

Question

KnowledgeBoat · Accepted Answer

Given: l : m = m : n = Convert mixed to improper fractions: l : m = m : n = Let us simplify the ratios into whole numbers. l : m = Let us find L.C.M. of 2 and 3: L.C.M. = 2 x 3 = 6 l : m = = 15 : 10 l : m = 3 : 2 [Dividing by 5] m : n = Let us find L.C.M. of 4 and 2: L.C.M. = 2 x 2 = 4 m : n = m : n = 5 : 14 We make m, the same in both the ratios. Let us find L.C.M. of 2 and 5: L.C.M. = 2 x 5 = 10 So, we make m equal to 10 in each case. Now, multiply the first ratio by 5: Multiply the second ratio by 2: Now we have, l : m = 15 : 10 and m : n = 10 : 28 ∴ l : m : n = 15 : 10 : 28

Mathematics

If l : m =2(1/2):1(2/3) and m : n = 1(1/4):3(1/2), find l : m : n.

Ratio Proportion

Related Questions

If a : b = 3 : 4 and b : c = 8 : 9, find a : b : c.

Which of the following statements are true?
(i) 51 : 68 = 85 : 102
(ii) 1.5 : 2.5 = 3.6 : 6
(iii) 30 bags : 18 bags = ₹ 450 : ₹ 270
(iv) 32 kg : ₹ 36 = 8 kg : ₹ 9

Mathematics

If l : m =2(1/2):1(2/3) and m : n = 1(1/4):3(1/2), find l : m : n.

Ratio Proportion

Related Questions

If a : b = 3 : 4 and b : c = 8 : 9, find a : b : c.

Which of the following statements are true?(i) 51 : 68 = 85 : 102(ii) 1.5 : 2.5 = 3.6 : 6(iii) 30 bags : 18 bags = ₹ 450 : ₹ 270(iv) 32 kg : ₹ 36 = 8 kg : ₹ 9

Which of the following statements are true?
(i) 51 : 68 = 85 : 102
(ii) 1.5 : 2.5 = 3.6 : 6
(iii) 30 bags : 18 bags = ₹ 450 : ₹ 270
(iv) 32 kg : ₹ 36 = 8 kg : ₹ 9