The correct option is A 180:27:32 The L.C.M of 2, 8, 9=2×2×2×3×3=8×9=72 Now, multiplying each fraction by the L.C.M. ⟹52×72=160 ⟹38×72=27 ...

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Standard VII

Mathematics

Changing Scale (Including Flags)

Simplify 52...

Question

Simplify $\frac{5}{2} : \frac{3}{8} : \frac{4}{9}$

180 : 27 : 32

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10 : 6 : 8

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15 : 9 : 12

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25 : 15 : 20

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Solution

The correct option is A $180 : 27 : 32$
The L.C.M of $2, 8, 9 = 2 \times 2 \times 2 \times 3 \times 3 = 8 \times 9 = 72$
Now, multiplying each fraction by the L.C.M.
$⟹ \frac{5}{2} \times 72 = 160$
$⟹ \frac{3}{8} \times 72 = 27$
$⟹ \frac{4}{9} \times 72 = 32$
So, the ratio becomes $180 : 27 : 32$

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Similar questions

Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data:

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

Q. The value of

\frac{18^{3} + 7^{3} + 3 \cdot 18 \cdot 7 \cdot 25}{3^{6} + 6 \cdot 243 \cdot 2 + 15 \cdot 181 \cdot 4 + 20 \cdot 27 \cdot 8 + 15 \cdot 9 \cdot 16 + 6 \cdot 3 \cdot 32 + 64}

In this case how many time intervals can Sid calculate?

$\begin{matrix} B u s & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 T i m e (h r : m i n) & 8 : 15 & 8 : 18 & 8 : 23 & 8 : 29 & 8 : 32 & 8 : 40 & 8 : 45 & 8 : 52 & 8 : 54 & 9 : 00 & 9 : 07 & 9 : 13 & 9 : 20 & 9 : 25 & 9 : 32 \end{matrix}$

Simplify:
$(\frac{- 4}{5} \times \frac{15}{8}) + (\frac{- 1}{3} \times \frac{- 9}{7}) - (\frac{2}{1} \times \frac{25}{14})$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

Simplify 52:38:49

The correct option is A 180:27:32The L.C.M of 2,8,9=2×2×2×3×3=8×9=72Now, multiplying each fraction by the L.C.M.⟹52×72=160⟹38×72=27⟹49×72=32So, the ratio becomes 180:27:32

Simplify $\frac{5}{2} : \frac{3}{8} : \frac{4}{9}$

28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9