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How to solve Decimal and Fraction Questions Quickly
Every Decimal number can also be written as Fraction number . And every Fraction number can also be written as Decimal number.
For example : 2.5 is decimal number and also written as \frac{25}{10} which is a Fraction number.


How to Solve Quickly Decimals and Fractions
- Definition:
- Decimals and fractions are two notations to represent a number.
- A decimal number is a number whose place value is based on 10s.
- Also, whole numbers are actually decimal numbers which are greater than or equal to zero.
- The following section describes the three examples of how decimals and fractions are calculated.
Type 1: Find the greatest or smallest fraction
Question 1. Which among \frac{5}{7} and \frac{9}{2} is greater?
Options:
A. \frac{5}{7}
B. \frac{9}{2}
C. Both are equal
D. Cannot be Determined
Solution: \frac{5}{7} = 0.71
\frac{9}{2} = 4.5
The decimal values of the above fractions clearly indicate that the value of \frac{9}{2} is more than \frac{5}{7} . Therefore, \frac{9}{2} is the greater number among the two.
Correct Answer: B
Question 2. Which among the given numbers is greater \frac{5}{8} or \frac{1}{2}?
Options:
A. \frac{5}{8}
B. \frac{1}{2}
C. Both are equal
D. Cannot be Determined
Solution: \frac{5}{8} = 0.62
\frac{1}{2}= 0.5
The decimal value of \frac{5}{8} is greater than that of \frac{1}{2}. Therefore, it is greater than \frac{1}{2}.
Correct Answer: A
Question 3.Which among \frac{4}{7} and \frac{9}{7} is greater?
Options:
A. \frac{4}{7}
B. \frac{9}{7}
C. Both are equal
D. Cannot be Determined
Solution: \frac{4}{7}= 0.57
\frac{9}{7} = 1.28
Since the decimal value of \frac{9}{7} is greater, it is the greater number between the given two numbers.
Correct Answer: B
Type 2: How To Solve Question on Decimals and Fractions Quickly- Simplification
Question 1. Simplify and calculate the result of 56.25 + 36.56+ 12.45.
Options:
A. 105.26
B. 110.23
C. 200.36
D. Cannot be Determined
Solution: The result can be calculated simply by adding the given numbers before and after the decimal sign.
Therefore, 56.25 + 36.56+ 12.45 = 105.26
Correct Answer: A
Question 2. Simplify and calculate the result of 78.56 + 12.36+ 10.00.
Options:
A. 210.36
B. 300.69
C. 100.92
D. Cannot be Determined
Solution: The result can be calculated simply by adding the given numbers before and after the decimal sign.
Therefore, 78.56 + 12.36+ 10.00= 100.92
Correct Answer: C
Question 3. Simplify and calculate the result of 300.45 + 1223.89+ 1210.12.
Options:
A. 1213.36
B. 2734.46
C. 500.92
D. Cannot be Determined
Solution: The result can be calculated simply by adding the given numbers before and after the decimal sign.
Therefore, 300.45 + 1223.89+ 1210.12= 2734.46
Correct Answer: B
Read Also: Formula for Decimal and Fractions
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