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Convert 1.87 to a fraction.

Understand the Problem

The question is asking how to convert the decimal number 1.87 into a fraction. To solve this, we will express the decimal as a fraction by breaking it down into its whole number and decimal components.

Answer

The fraction representation of 1.87 is $\frac{187}{100}$.
Answer for screen readers

The decimal number 1.87 can be expressed as the fraction $\frac{187}{100}$.

Steps to Solve

  1. Separate the Whole Number and Decimal Part

The decimal number 1.87 consists of a whole number part (1) and a decimal part (0.87). We can express this as:

$$ 1.87 = 1 + 0.87 $$

  1. Convert the Decimal to a Fraction

To convert the decimal part 0.87 to a fraction, we recognize that 0.87 means 87 hundredths:

$$ 0.87 = \frac{87}{100} $$

  1. Combine the Whole Number and Fraction

Now we combine the whole number with the fractional part:

$$ 1.87 = 1 + \frac{87}{100} $$

  1. Express as a Single Fraction

To combine these, convert the whole number 1 to a fraction with the same denominator (100):

$$ 1 = \frac{100}{100} $$

Now we can add the fractions:

$$ 1.87 = \frac{100}{100} + \frac{87}{100} = \frac{100 + 87}{100} = \frac{187}{100} $$

The decimal number 1.87 can be expressed as the fraction $\frac{187}{100}$.

More Information

The fraction $\frac{187}{100}$ is in its simplest form because 187 and 100 have no common factors other than 1. A fun fact is that converting decimals to fractions can often help in mathematical operations such as addition and subtraction.

Tips

  • Not recognizing the decimal places: Sometimes, people forget that .87 means 87 out of 100. Make sure to express the decimal in terms of its denominator correctly.
  • Failing to combine: When adding the whole number and the fraction, remember to convert the whole number into a fraction with a compatible denominator.
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