What is the fraction equivalent of 1.21875?

To determine the fraction equivalent of 1.21875, it's essential to first convert the decimal into a fraction. Start by recognizing that 1.21875 is composed of the whole number 1 and the decimal 0.21875.

This process can be broken down as follows:

1. Convert the decimal part (0.21875) into a fraction. Since there are five decimal places, the decimal can be expressed as ( \frac{21875}{100000} ).

2. Next, simplify ( \frac{21875}{100000} ) by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 21875 and 100000 is 3125.

• Dividing the numerator: ( \frac{21875 \div 3125}{100000 \div 3125} = \frac{7}{32} ).

3. Now combine the whole number with the fraction:

• Since 1 can be written as ( \frac{32}{32} ), when we combine it with ( \frac{7}{32} ), we have:

[

1 + \frac{7}{32