Conversion a decimal number to a fraction: 2.42 = 242/100= 121/50
a) Write down the decimal 2.42 divided by 1: 2.42 = 2.42/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
2.42/1 = 24.2/10 = 242/100
Note: 242/100
is called a decimal fraction.
c) Simplify and reduce the fraction
242/100 = 121 * 2/50 * 2 = 121 * 2/50 * 2= 121/50
Conversion a decimal number to a fraction: 1.56 = 156/100= 39/25
a) Write down the decimal 1.56 divided by 1: 1.56 = 1.56/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
1.56/1= 15.6/10 = 156/100
Note: 156/100
is called a decimal fraction.
c) Simplify and reduce the fraction
156/100 = 39 * 4/25 * 4 = 39 * 4/25 * 4 = 39/25
Multiple: 2.42 * 1.56 = 121 · 39/50 · 25 = 4719/1250
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4719, 1250) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one hundred twenty-one fiftieths multiplied by thirty-nine twenty-fifths = four thousand seven hundred nineteen one-thousand two-hundred fiftieths.
