What strategies do you use to convert a fraction to a decimal and a decimal into a fraction?
fraction to decimal: Divide the numerator by the denominator
Decimal to a fraction.
http://www.mathsisfun.com/converting-decimals-fractions.html
To convert a fraction to a decimal, you can follow these steps:
Step 1: Divide the numerator (the top number) by the denominator (the bottom number).
Step 2: Continue dividing until you obtain a decimal value.
For example, to convert the fraction 3/4 to a decimal:
Step 1: Divide 3 by 4: 3 ÷ 4 = 0.75
Therefore, 3/4 can be converted to the decimal 0.75.
To convert a decimal to a fraction, you can follow these steps:
Step 1: Write down the decimal as a fraction with the decimal as the numerator and 1 as the denominator.
Step 2: Simplify the fraction if possible.
For example, to convert the decimal 0.6 to a fraction:
Step 1: Write down 0.6 as 0.6/1.
Step 2: Simplify the fraction: 0.6/1 = 6/10
Therefore, 0.6 can be converted to the fraction 6/10.
To convert a fraction to a decimal, you can use division. Here's how:
1. Divide the numerator (the top number) by the denominator (the bottom number).
2. Keep dividing until you either get a terminating decimal (one that ends) or a repeating decimal (one that repeats a pattern).
For example, let's say we want to convert the fraction 3/4 to a decimal:
1. Divide 3 by 4: 3 ÷ 4 = 0.75
2. Since 0.75 doesn't repeat or end, it is a terminating decimal.
Now, let's talk about converting a decimal to a fraction. The process can vary depending on the decimal type.
For terminating decimals:
1. Count the number of decimal places (digits after the decimal point).
2. Write the decimal without the decimal point as the numerator.
3. Write 1 followed by the same number of zeros as the decimal places as the denominator.
For example, let's convert 0.75 to a fraction:
1. Since there are 2 decimal places, we have 75 as the numerator.
2. We have 1 followed by 2 zeros (100) as the denominator.
The fraction equivalent of 0.75 is 75/100, which can be simplified to 3/4.
For repeating decimals:
1. Identify the repeating pattern.
2. Assign the repeating pattern as the numerator.
3. Assign as many 9's in the denominator as digits in the repeating pattern.
4. Subtract any non-repeating part of the decimal from the repeating part and simplify the fraction.
For example, let's convert 0.333... to a fraction:
1. The repeating pattern is 3.
2. We assign 3 as the numerator.
3. We assign as many 9's as digits in the repeating pattern as the denominator, which is 9.
4. We subtract 0.3 from 0.333... to get 0.0333...
Simplifying the fraction 3/9 gives us 1/3.
These strategies should help you convert between fractions and decimals efficiently.