Convert 1.76 as a fraction.
Understand the Problem
The question is asking to convert the decimal number 1.76 into a fraction. A high-level approach involves recognizing that 1.76 can be represented as a sum of its integer and decimal parts and then converting the decimal part into a fraction.
Answer
The decimal 1.76 can be expressed as the fraction $\frac{44}{25}$.
Answer for screen readers
The decimal 1.76 can be expressed as the fraction $\frac{44}{25}$.
Steps to Solve
- Separate the Integer and Decimal Parts
First, identify the integer and decimal parts of the number 1.76. The integer part is 1, and the decimal part is 0.76.
- Convert the Decimal Part to Fraction
To convert the decimal 0.76 into a fraction, recognize that 0.76 can be written as the fraction $\frac{76}{100}$ since it has two decimal places.
- Simplify the Fraction
Now, simplify the fraction $\frac{76}{100}$. Both the numerator and the denominator can be divided by their greatest common divisor, which is 4:
$$ \frac{76 \div 4}{100 \div 4} = \frac{19}{25} $$
- Combine the Integer and Fraction Parts
Now, combine the integer part (1) with the simplified fraction part:
$$ 1 + \frac{19}{25} = \frac{25}{25} + \frac{19}{25} = \frac{44}{25} $$
- Final Fraction Representation
Thus, the decimal 1.76 can be expressed as the improper fraction $\frac{44}{25}$.
The decimal 1.76 can be expressed as the fraction $\frac{44}{25}$.
More Information
Converting decimals to fractions is a useful skill in mathematics. Additionally, improper fractions can often be converted to mixed numbers for better interpretation, such as $1 \frac{19}{25}$ for $\frac{44}{25}$.
Tips
- Failing to simplify the fraction after converting the decimal part.
- Not recognizing that $0.76$ is equivalent to $\frac{76}{100}$.
