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Published on: 16/09/2019
Fractions
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1.
put appropriate sign \(\frac { 2 }{ 11 } \Box { } \frac { 1 }{ 11 } \)
2.
put appropriate sign \(\frac { 5 }{ 18 } \boxed { } \frac { 7 }{ 18 } \)
3.
Compare the fractions and put an appropriate sign.\(\frac { 1 }{ 7 } \Box { } \frac { 1 }{ 4 } \)
4.
Arrange the following in ascending and descending order \(\frac { 7 }{ 11 } ,\frac { 7 }{ 13 } ,\frac { 7 }{ 5 } ,\frac { 7 }{ 2 } ,\frac { 7 }{ 3 } ,\frac { 7 }{ 4 } \)
5.
State whether \(\frac { 12 }{ 15 } \) is an equivalent fraction of \(\frac { 2 }{ 5 } \)
6.
Write a fraction equivalent to\(\frac { 5 }{ 8 } \) with denominator 56.
7.
Write the fraction denoted by point A
8.
Express the following as improper fraction \(5\frac { 3 }{ 7 } \)
9.
Show 3/5 on a number line
10.
Show \(\frac { 4 }{ 5 } \) on a number line.
11.
Identify the errors, if any
This is \(\frac { 1 }{ 2 } \)
12.
Write the fraction representing the shaded portion.
13.
Write the fraction representing the shaded portion.
14.
Write the fraction representing the shaded portion.
15.
What fraction of a day is 15 hours?
1.
After putting the appropriate signs, we have \(\frac { 2 }{ 11 } \boxed { > } \frac { 1 }{ 11 } \)
2.
After putting the appropriate signs, we have \(\frac { 5 }{ 18 } \boxed { < } \frac { 7 }{ 18 } \)
3.
We have\(\frac { 1 }{ 7 } \Box { } \frac { 1 }{ 4 } \)
Here,numerators are same of both fractions. So, fraction having smaller denominator will be greater.
∴ \(\frac { 1 }{ 7 } \boxed { < } \frac { 1 }{ 4 } \)
4.
\(\frac { 7 }{ 11 } ,\frac { 7 }{ 13 } ,\frac { 7 }{ 5 } ,\frac { 7 }{ 2 } ,\frac { 7 }{ 3 } ,\frac { 7 }{ 4 } \)
Here, descending order of denominators = 13> 11 > 5 > 4 > 3 > 2
∴ Ascending order of fractions = \(\frac { 7 }{ 13 } ,\frac { 7 }{ 11 } ,\frac { 7 }{ 5 } ,\frac { 7 }{ 4 } ,\frac { 7 }{ 3 } ,\frac { 7 }{ 2 } \)and descending order of fractions =\(\frac { 7 }{ 2 } ,\frac { 7 }{ 3 } ,\frac { 7 }{ 4 } ,\frac { 7 }{ 5 } ,\frac { 7 }{ 11 } ,\frac { 7 }{ 13 } \)
5.
No
6.
\(\frac { 35 }{ 56 } \)
7.
\(\frac { 4 }{ 8 } \)
8.
\(\frac { 38 }{ 7 } \)
9.
We know that, 3/5 is greater than zero but less than 1. So, it will lie between 0 and 1.
Since, we have to show 3/5, so we have to divide the gap between 0 and 1 into five equal parts. Then, each part shows 115 and 3 parts will show 3/5.
\(\left[ also,\frac { 0 }{ 5 } =0 \right] \)
Hence, point A represents 3/5.
10.
Take unit length between 0 and 1. Divide the length between 0 and 1 into 5 equal parts and take 4 parts out of it to reach the point A. Then, the point A represents the number \(\frac { 4 }{ 5 } \)
11.
In the given figure, shaded portion is not equal to unshaded portion. So, fraction is not equal to 1/2.
12.
Total number of equal parts = 8; Shaded parts = 4
∴ Fraction representing the shaded portion = \(\frac { 4 }{ 8 } \)
13.
Total number of equal parts = 4; Shaded parts = 1
∴ Fraction representing the shaded portion = \(\frac { 1 }{ 4 } \)
14.
Total number of equal parts = 4; Shared parts = 2
∴ Fraction representing the shaded portion
= \(\frac { Number\ of\ shaded\ parts }{ Total\ number\ of\ equal\ parts } =\frac { 2 }{ 4 } \)
15.
We know that, one day = 24 h
\(\therefore\) The required fraction = \(\frac { 15\ h }{ 24\ h } =\frac { 15 }{ 14 } =\frac { 5 }{ 8 } \)
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