Convert the decimal no.'s into the form of m\n a) 0.35 b) 0.175 c) 0.0...
Conversion of Decimal Numbers to the Form of m/n
Decimal numbers can be converted into the form of m/n, where m and n are integers, by following the steps given below:
- Step 1: Write the given decimal number as the numerator of a fraction.
- Step 2: The denominator of the fraction is equal to 1 followed by the number of decimal places in the given number.
- Step 3: Simplify the fraction, if possible.
a) Conversion of 0.35 to m/n form
Step 1: 0.35 can be written as 35/100
Step 2: The denominator of the fraction is 1 followed by 2 decimal places, i.e., 100.
Step 3: Simplifying the fraction, we get 7/20.
Therefore, 0.35 can be written in the form of m/n as 7/20.
b) Conversion of 0.175 to m/n form
Step 1: 0.175 can be written as 175/1000
Step 2: The denominator of the fraction is 1 followed by 3 decimal places, i.e., 1000.
Step 3: Simplifying the fraction, we get 7/40.
Therefore, 0.175 can be written in the form of m/n as 7/40.
c) Conversion of 0.0025 to m/n form
Step 1: 0.0025 can be written as 25/10000
Step 2: The denominator of the fraction is 1 followed by 4 decimal places, i.e., 10000.
Step 3: Simplifying the fraction, we get 1/400.
Therefore, 0.0025 can be written in the form of m/n as 1/400.
d) Conversion of 3.0440625 to m/n form
Step 1: 3.0440625 can be written as 30440625/10000000
Step 2: The denominator of the fraction is 1 followed by 7 decimal places, i.e., 10000000.
Step 3: Simplifying the fraction, we get 6088125/2000000.
Therefore, 3.0440625 can be written in the form of m/n as 6088125/2000000.