Question
Download Solution PDFWhich of the following fractions is the largest ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Fractions to compare: \(4\frac{2}{3}\), \(4\frac{1}{6}\), \(\frac{39}{12}\), \(\frac{47}{12}\)
Formula used:
To compare fractions, convert all fractions to improper fractions or decimal form.
Calculation:
1) Convert 4(2/3) to improper fraction:
⇒ 4(2/3) = (4 × 3 + 2)/3 = 14/3
2) Convert 4(1/6) to improper fraction:
⇒ 4(1/6) = (4 × 6 + 1)/6 = 25/6
3) Fraction 39/12 remains as it is.
4) Fraction 47/12 remains as it is.
Now, convert all fractions to decimal for comparison:
14/3 = 4.666...
25/6 = 4.166...
39/12 = 3.25
47/12 = 3.916...
Comparing decimal values: 4.666... > 4.166... > 3.916... > 3.25
∴ The largest fraction is 14/3 or \(4\frac{2}{3}\), which corresponds to Option 1.
Last updated on Jun 21, 2023
The West Bengal Central School Service Commission (WBSSC) is expected to release a notification for the recruitment of WBSSC Group D posts under the University of Calcutta. Around 3000 vacancies are anticipated to be announced for the West Bengal Group D Recruitment 2023, which includes positions like Junior Compositor and other non-teaching staff. Interested candidates, aged between 18 to 40 years, can apply for these positions. The selection process will be based on a written test, and applicants must have completed at least 8th grade to be eligible.