To convert a terminating decimal to a fraction, follow these steps:
1. Write down the decimal as a fraction, placing the decimal part over a power of 10. For example, if the decimal is 0.25, write it as 25/100.
2. Simplify the fraction if possible. In this example, both 25 and 100 can be divided by 25, resulting in 1/4.
3. The simplified fraction is the equivalent fraction to the terminating decimal.
So, 0.25 as a fraction is 1/4.
Terminating Decimal to a fraction - RATIONAL
3 answers
Repeating Decimal to a fraction - RATIONAL
To convert a repeating decimal to a fraction, follow these steps:
1. Assign a variable to the repeating part of the decimal. Let's call it "x". For example, if the decimal is 0.3333..., let x = 0.3333...
2. Multiply both sides of the equation by a power of 10 that has the same number of digits as the repeating part. For example, multiply both sides by 1000 if there are 3 digits in the repeating part.
10x = 3.3333...
3. Subtract the original equation from the modified equation to eliminate the repeating part:
10x - x = 3.3333... - 0.3333...
Simplifying the equation:
9x = 3
4. Solve the equation for x by dividing both sides by 9:
x = 3/9
5. Simplify the fraction if possible. In this example, both 3 and 9 can be divided by 3, resulting in 1/3.
So, 0.3333... as a fraction is 1/3.
1. Assign a variable to the repeating part of the decimal. Let's call it "x". For example, if the decimal is 0.3333..., let x = 0.3333...
2. Multiply both sides of the equation by a power of 10 that has the same number of digits as the repeating part. For example, multiply both sides by 1000 if there are 3 digits in the repeating part.
10x = 3.3333...
3. Subtract the original equation from the modified equation to eliminate the repeating part:
10x - x = 3.3333... - 0.3333...
Simplifying the equation:
9x = 3
4. Solve the equation for x by dividing both sides by 9:
x = 3/9
5. Simplify the fraction if possible. In this example, both 3 and 9 can be divided by 3, resulting in 1/3.
So, 0.3333... as a fraction is 1/3.