117.775 as a Mixed Number

Answer: In mixed number form, 117.775 is written as 117 31/40.

Explanation: To convert a decimal to a mixed number, first identify the whole number and the decimal part.

Here, the whole number is 117, and the decimal part is 0.775. Convert the decimal part into a fraction. Since 0.775 has three decimal places, it can be expressed as 775/1000.

Simplify the fraction by finding the greatest common divisor (GCD) of 775 and 1000, which is 25. 775 ÷ 25 = 31 1000 ÷ 25 = 40

So, the fraction part is 31/40. Therefore, 117.775 as a mixed number is 117 31/40.

• Mixed number: A number consisting of a whole number and a proper fraction, like 3 1/2 or 117 31/40.

• Decimal: A number that includes a decimal point to represent a whole number plus a fraction of a whole number, such as 0.5 or 117.775.

• Numerator: The top part of a fraction, which represents how many parts of the whole are being considered, like 31 in 31/40.

• Denominator: The bottom part of a fraction, which indicates the total number of equal parts the whole is divided into, like 40 in 31/40.

• Greatest common divisor (GCD): The largest positive integer that divides two numbers without leaving a remainder; used to simplify fractions.