How To Solve Decimals And Fractions Questions Quickly

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 Decimal and Fraction Questions Quickly

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