Arrange the dissimilar fraction to ascending 3/25, 3/5, 3/15, 3/35, 3/

1.	Arrange the dissimilar fraction to ascending 3/25, 3/5, 3/15, 3/35, 3/45.
Answer» \(\frac3{25}=\frac3{25}\times\frac{63}{63}=\frac{189}{1575}\) \(\frac35 = \frac35\times\frac{315}{315}=\frac{945}{1575}\) \(\frac3{15} = \frac3{15}\times\frac{105}{105}=\frac{315}{1575}\) \(\frac3{35} = \frac3{35}\times\frac{45}{45}=\frac{135}{1575}\) \(\frac3{45} = \frac3{45}\times\frac{35}{35}=\frac{105}{1575}\) \(\because\) \(\frac{105}{1576}<\frac{35}{1575}<\frac3{25}<\frac3{15}<\frac35\) Alternate method: \(\because\) 5 < 15 < 25 < 35 < 45 ⇒ 1/45 < 1/35 < 1/25 < 1/15 < 1/5 ⇒ 3/45 < 3/35 < 3/25 < 3/15 < 3/5

Arrange the dissimilar fraction to ascending 3/25, 3/5, 3/15, 3/35, 3/45.

Answer»

\(\frac3{25}=\frac3{25}\times\frac{63}{63}=\frac{189}{1575}\)

\(\frac35 = \frac35\times\frac{315}{315}=\frac{945}{1575}\)

\(\frac3{15} = \frac3{15}\times\frac{105}{105}=\frac{315}{1575}\)

\(\frac3{35} = \frac3{35}\times\frac{45}{45}=\frac{135}{1575}\)

\(\frac3{45} = \frac3{45}\times\frac{35}{35}=\frac{105}{1575}\)

\(\because\) \(\frac{105}{1576}<\frac{35}{1575}<\frac3{25}<\frac3{15}<\frac35\)

Alternate method:

\(\because\) 5 < 15 < 25 < 35 < 45

⇒ 1/45 < 1/35 < 1/25 < 1/15 < 1/5

⇒ 3/45 < 3/35 < 3/25 < 3/15 < 3/5

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