Convert the following decimals into fractions in simplest form
0.08 and 5.55
To convert 0.08 to a fraction, we can write it as 8/100. However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, 0.08 can be expressed as the simplified fraction 2/25.
To convert 5.55 to a fraction, we can write it as 5 and 55/100. However, this fraction can also be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5. So, 5.55 can be expressed as the simplified fraction 111/20.
To convert a decimal into a fraction, we can use the following steps:
1. Write down the decimal as the numerator of the fraction.
2. Determine the denominator based on the number of decimal places.
For 0.08:
1. The decimal is 0.08, so we write down 0.08 as the numerator.
2. Since there are two decimal places, the denominator will be 10^2 = 100.
Therefore, 0.08 as a fraction in simplest form is 8/100. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (which is 4), we have 2/25.
For 5.55:
1. The decimal is 5.55, so we write down 5.55 as the numerator.
2. Since there are two decimal places, the denominator will be 10^2 = 100.
Therefore, 5.55 as a fraction in simplest form is 555/100. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (which is 5), we have 111/20.
To convert a decimal into a fraction, you need to follow these steps:
Step 1: Identify the decimal and let it be represented by "x".
Step 2: Count the number of decimal places in "x".
Step 3: Write "x" as a fraction, where the numerator is "x" and the denominator is 1 followed by the same number of zeros as the decimal places counted in Step 2.
Step 4: Simplify the fraction to its simplest form, if necessary.
Now let's convert the decimals into fractions:
1. Converting 0.08 into a fraction:
Step 1: x = 0.08
Step 2: There are two decimal places.
Step 3: Write 0.08 as a fraction: 0.08/100.
Step 4: Simplify the fraction: 0.08/100 = 1/125.
Therefore, 0.08 can be written as the fraction 1/125 in its simplest form.
2. Converting 5.55 into a fraction:
Step 1: x = 5.55
Step 2: There are two decimal places.
Step 3: Write 5.55 as a fraction: 5.55/100.
Step 4: Simplify the fraction: 5.55/100 = 111/20.
Therefore, 5.55 can be written as the fraction 111/20 in its simplest form.