# 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.

The decimal 1.76 can be expressed as the fraction $\frac{44}{25}$.

The decimal 1.76 can be expressed as the fraction $\frac{44}{25}$.

#### Steps to Solve

1. 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.

1. 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.

1. 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:

$$\frac{76 \div 4}{100 \div 4} = \frac{19}{25}$$

1. Combine the Integer and Fraction Parts

Now, combine the integer part (1) with the simplified fraction part:

$$1 + \frac{19}{25} = \frac{25}{25} + \frac{19}{25} = \frac{44}{25}$$

1. 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 $\frac{44}{25}$.

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 $\frac{44}{25}$.
• Not recognizing that $0.76$ is equivalent to $\frac{76}{100}$.