Express each fraction as a terminating or repeating decimal.
2/25, 5/6
Divide:
2/25 = 0.40
5/6 = 0.833333333333333333
To express each fraction as a decimal, you can use long division or a calculator. Here's how to do it step-by-step for each fraction:
1. 2/25:
Divide the numerator (2) by the denominator (25).
- The quotient is 0 and the remainder is 2.
- Write down the quotient (0).
- Multiply the remainder (2) by 10 to move the decimal point one place to the right.
- Divide the new number (20) by the denominator (25).
- The new quotient is 0 and the new remainder is 20.
- Write down the new quotient (0).
- Continue this process until the remainder is 0 or there's a repeating pattern.
- The decimal form of 2/25 is 0.08.
2. 5/6:
Divide the numerator (5) by the denominator (6).
- The quotient is 0 and the remainder is 5.
- Write down the quotient (0).
- Multiply the remainder (5) by 10 to move the decimal point one place to the right.
- Divide the new number (50) by the denominator (6).
- The new quotient is 8 and the new remainder is 2.
- Write down the new quotient (8).
- Multiply the new remainder (2) by 10 and divide it by the denominator (6).
- The new quotient is 3 and the new remainder is 2.
- Write down the new quotient (3).
- Continue this process until the remainder is 0 or there's a repeating pattern.
- The decimal form of 5/6 is 0.8̅3̅ (8.333...).
To express a fraction as a decimal, you need to perform division using the numerator (top number) divided by the denominator (bottom number).
Let's start with the fraction 2/25:
2 ÷ 25 = 0.08
The result is 0.08, which is a terminating decimal since it ends after two decimal places.
Now let's move on to the fraction 5/6:
5 ÷ 6 = 0.833333...
The quotient is 0.833333..., where the digit 3 repeats indefinitely. This is a repeating decimal.
So, the fractions 2/25 and 5/6 can be expressed as follows:
2/25 = 0.08 (terminating decimal)
5/6 = 0.833333... (repeating decimal)