Short Questions on Fraction and Decimal Equivalence
Arithmetic Chapter 14 Equivalence Of Fraction Decimal Fraction Percentage And Ratio
Question 1. Express the following vulgar fractions in Decimal fractions, Percentages, and Ratios:
1. 7/18
Solution:
Given:
7/18
∴ 7/18 = 0.388……
= 0.38
Now 7/18 can be converted into percentages as
= \(\frac{7}{18} \times 100 \%\)
= \(\frac{7}{9} \times 50 \%\)
= \(\frac{350}{9} \%\)
= \(38 \frac{8}{9} \%\)
Also 7/18 = 7: 18.
∴ The required decimal fraction = 0.38
The required percentage = \(38 \frac{8}{9} \%\)
The required ratio = 7: 18.
Read And Learn More WBBSE Solutions For Class 6 Maths
2. 25/64
Solution:
Given:
25/64
∴ 25/64 = 0.390625.
Now,
= \(\frac{25}{64} \times 100 \%\)
= \(\frac{25}{16} \times 25 \%\)
= \(\frac{625}{16} \%\)
= \(39 \frac{1}{6} \%\)
Again, 25/64
= 25: 64.
WBBSE Class 6 Equivalence of Fractions Notes
∴ The required decimal fraction = 0.390625
The required percentage = \(39 \frac{1}{6} \%\)
The required ratio = 25: 64.
Question 2. Express 0.9375 in vulgar fraction, percentage, and ratio.
Solution:
Given:
0.9375
0.9375 = 9375 / 10000
= 15/16
(Dividing both numerator and denominator by 625)
Now, 0.9375 = \(\frac{15}{16} \times 100 \%\)
= \(\frac{15}{4} \times 25 \%\)
= \(\frac{375}{4} \%\)
= \(93 \frac{3}{4} \%\)
Again, 0.9375 = 15/16
= 15: 16.
∴ The required vulgar fraction = 15/16;
The required percentages = \(93 \frac{3}{4} \%\);
The required ratio = 15: 16.
Common Questions About Converting Fractions to Percentages
Question 3. Express 40% in vulgar fractions, decimal fractions, and ratios.
Solution:
Given:
40%
40% = 40/100
= 2/5;
Now,
∴ 2/5 = 0.4
Again, 2/5 = 2: 5.
∴ The required vulgar fraction = 2/5;
The required decimal fraction = 0.4;
The required ratio = 2: 5.
Conceptual Questions on Finding Equivalent Forms
Question 4. Convert the ratio 5: 8 into vulgar fractions, decimal fractions, and percentages.
Solution:
Given:
5: 8
5: 8 = 5/8
Now,
∴ 5/8 = 0.625
Again,
= \(\frac{5}{8} \times 100 \%\)
= \(\frac{5}{2} \times 25 \%\)
= \(\frac{125}{2} \%\)
= \(62 \frac{1}{2} \%\)
∴ The required vulgar fraction = 5/8;
The required decimal fraction = 0.625;
The required percentage = \(62 \frac{1}{2} \%\)