What is 1.5 as a Fraction?

The fraction equivalent of 1.5 is \(\frac{3}{2}\)

Step-by-Step Solution

Step 1: Identify the decimal number

We want to convert the decimal 1.5 to a fraction.

Step 2: Write as a fraction with 1 as the denominator

First, we write 1.5 as a fraction with 1 as the denominator:

\(1.5 = \frac{1.5}{1}\)

Step 3: Count the decimal places

The decimal 1.5 has 1 decimal places.

Step 4: Multiply to remove the decimal point

We multiply both the numerator and denominator by 10¹ to remove the decimal point:

\(\frac{1.5}{1} \times \frac{10}{10} = \frac{15}{10}\)

Step 5: Simplify the fraction

We need to simplify this fraction by dividing both numbers by their greatest common divisor (GCD).

The GCD of 15 and 10 is 5.

\(\frac{15}{10} = \frac{15 \div 5}{10 \div 5} = \frac{3}{2}\)

Step 6: Convert to a mixed number (optional)

Since the numerator is larger than the denominator, we can convert this to a mixed number:

\(\frac{3}{2} = 1\frac{1}{2}\)

Final Answer

The decimal 1.5 as a fraction is \(\frac{3}{2}\) or as a mixed number: \(1\frac{1}{2}\)

Try Another Conversion

Understanding Decimal to Fraction Conversion

What are Decimals?

Decimals are a way of writing numbers that aren't whole numbers. They use a decimal point to separate the whole number part from the fractional part. For example, in 1.5, the whole number part is 1 and the decimal part is 0.5.

Converting Decimals to Fractions

To convert a decimal to a fraction:

Write the decimal number as a fraction with 1 as the denominator
Multiply both the numerator and denominator by a power of 10 to remove the decimal point
Simplify the fraction if possible

Did You Know?

Every terminating decimal can be written as a fraction where the denominator is a power of 10 or a number that only contains the prime factors 2 and 5.