Math Assignment Help With Decimal Numbers Conversions

2.4 Conversions

2.4.1 Conversion of decimal to fractions

Step1: Write the decimal and divide by 1

Step2: Multiply and divide by 10 for every number after decimal point.

Step3: Simplify the fraction

Example: Convert 0.75 as fraction

2.4.2 Conversion of fractions to decimals

Step1: Multiply the denominator by a multiple to make it 10, 100, 1000 or any multiple of 10

Step2: Multiply the numerator by the same number

Step3: write the number by placing the decimal point one space from right for every zero in denominator.

Special case* if the denominator cannot be converted into a multiple of 10 then convert the number to any nearest multiple of 10

Example: Convert 6/25 into decimal

Step1: If we multiply the denominator by 4 it will become 100

Step2: So multiply numerator by the same number

6 x 4 = 24

25 x 4 = 100

Step3: 0.24 is the answer.

2.4.3 Conversion of decimals to percentage.

The easiest way to convert a decimal number to percent is to multiply the number by 100 as percent mean “per hundred” or just move the decimal point two digit towards right. And remember to put % with your answer.

Example: convert 0.75 to percent

0.75 x 100 = 75%

Or 0.75 = 75%

2.4.4 Conversion of percentage to decimals

The method is just opposite to the one mentioned above. Divide the given percent by 100 or move the decimal point two places from right to left.

Example: convert 7.5% to decimal

75/100 = 0.75

75% = 0.075

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