Answer
↓Steps Explained:↓
Convert 65% to:
a fraction and a decimal:
Decimal Conversion
A percentage is a number expressed in terms of it's relation to 100.
It is a number divided by 100.
We need to get to our original number.
Multiply our percentage by 100
This is the same as moving the decimal point to the right 2 places.
The first move to the right gives us 650.
The second decimal place move gives us 65
Fraction Conversion
| Percentage = | 65 |
| 100 |
Using our Greatest Common Factor (GCF) (65, 100) = 5
Reducing the numerator and denominator of 65/100 by our GCF of 5,
we get the following reduced fraction:
Fraction = 13/20
Calculate the decimal of the percentage
| Decimal = | Percentage |
| 100. |
Dividing by 100 means shift the decimal point 2 places to the left.
Shift 65 one decimal place to the left, we get --> 6.5
Shift 6.5 another decimal place to the left, we get --> 0.65
Check to see if 0.65 is a terminating decimal:
A terminating decimal is one that ends
Since the decimals 5 does not repeat,
this is a terminating decimal
Final Answer
13/20Related Calculators: Repeating Decimal | Conjugates | Ratios