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
- 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:
$$ 1.87 = 1 + 0.87 $$
- Convert the Decimal to a Fraction
To convert the decimal part 0.87 to a fraction, we recognize that 0.87 means 87 hundredths:
$$ 0.87 = \frac{87}{100} $$
- Combine the Whole Number and Fraction
Now we combine the whole number with the fractional part:
$$ 1.87 = 1 + \frac{87}{100} $$
- 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.