What is 3/20 as a decimal?

Answer: 3/20 as a decimal is 0.15

Fractions can often be expressed as decimal numbers, making it easier to compare, add, or subtract different values. Converting 3/20 to a decimal helps in situations where decimals are preferred or required, such as in measurements, scientific calculations, or everyday math.

Methods

Math Tutor Explanation Using the Division Method

The most straightforward way to convert a fraction to a decimal is by dividing the numerator by the denominator.

Step 1: Step 1: Divide the numerator (3) by the denominator (20)

Step 2: Step 2: 3 divided by 20 equals 0.15

Math Tutor Explanation Using the Equivalent Fraction Method

Another way is to rewrite the fraction so that the denominator is a power of 10, which easily translates to a decimal.

Step 1: Step 1: Multiply both numerator and denominator by 5 to get 15/100

Step 2: Step 2: Recognize that 15/100 is 0.15 as a decimal

Step 1:

Step 2:

Math Tutor suggests: Practice More Fraction to Decimal Conversions

Strengthen your understanding of converting fractions to decimals by exploring these similar exercises.

FAQ on Fraction to Decimal Conversion

How do you convert any fraction to a decimal?

Divide the numerator by the denominator using long division or a calculator.

Can all fractions be converted to a decimal?

Yes, every fraction can be written as a decimal, though some are non-terminating repeating decimals.

Is 3/20 a recurring or terminating decimal?

3/20 is a terminating decimal because it equals 0.15.

Why is converting to decimals useful?

Decimals are often easier to compare, use in calculations, and apply in real-life situations like money or measurements.

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