express 2.65 as a mixed number in lowest terms
2.65 as a mixed number in lowest terms is 2 and 13/20.
To express 2.65 as a mixed number in lowest terms, follow these steps:
Step 1: Identify the whole number part:
The whole number part of 2.65 is 2.
Step 2: Identify the fractional part:
The fractional part of 2.65 can be obtained by subtracting the whole number part from the given number:
2.65 - 2 = 0.65
Step 3: Simplify the fractional part:
To simplify the fraction, we can convert the decimal part to a fraction. Since there are two decimal places, we can write the fraction as the number over 100:
0.65 = 65/100
Step 4: Simplify the fraction to lowest terms:
To simplify the fraction 65/100 to lowest terms, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 5:
65 ÷ 5 / 100 ÷ 5 = 13/20
Therefore, 2.65 as a mixed number in lowest terms is 2 13/20.