How do you convert 1.36 to a fraction?

To convert the decimal 1.36 into a fraction, follow these simple steps:

Step 1: Separate the Whole Number

The number 1.36 has a whole number part (1) and a decimal part (0.36). Start by writing the whole number as a fraction:

• 1 can be written as 1/1.

Step 2: Convert the Decimal to a Fraction

Next, focus on the decimal part, 0.36. To convert this to a fraction:

• Recognize that 0.36 is the same as 36/100 since there are two digits after the decimal point.

Step 3: Simplify the Fraction

Now, simplify 36/100:

• Both 36 and 100 can be divided by 4.
• This gives you 9/25.

Step 4: Combine the Fractions

Now, add the whole number fraction and the simplified decimal fraction:

• 1 + 9/25 can be expressed as 1/1 + 9/25.
• To add these, convert 1 to a fraction with a denominator of 25: 25/25.

Final Calculation

Now, add the fractions:

• 25/25 + 9/25 = 34/25.

Result

The decimal 1.36 can be expressed as the fraction 34/25.