2.175 as a Fraction

Answer

The answer for 2.175 as a fraction is 87/40.

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 2.175 is the number for the numerator and the base number 1 will be the denominator. Then, 2.175 becomes 2.175/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 2.175/1 × 1000/1000 = 2175/1000

Step 3: Here, 25 is the GCD of 2175 and 1000. To make the fraction simpler, divide the numerator and denominator by 25. 2175/1000 = 87/40 Hence, 2.175 is in the fraction form of 87/40.

Thus, 2.175 can be written as a fraction 87/40.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Greatest Common Divisor (GCD): The largest divisor that divides two numbers without leaving a remainder.