How do you write 44:50 as a fraction, a decimal, and a percent?
The Correct Answer and Explanation is:
Correct Answer:
- Fraction:
4450=2225\frac{44}{50} = \frac{22}{25}5044=2522 (simplified) - Decimal:
0.880.880.88 - Percent:
88%88\%88%
Explanation:
To express 44:50 as a fraction, a decimal, and a percent, start by interpreting the ratio 44:50 as a fraction. A ratio compares two quantities, so 44:50 means 44 parts out of 50. This can be written as:4450\frac{44}{50}5044
Next, simplify the fraction if possible. Both 44 and 50 can be divided by 2, their greatest common divisor. So:44÷250÷2=2225\frac{44 \div 2}{50 \div 2} = \frac{22}{25}50÷244÷2=2522
This is the simplified version of the fraction.
To convert the fraction to a decimal, divide the numerator by the denominator:2225=22÷25=0.88\frac{22}{25} = 22 \div 25 = 0.882522=22÷25=0.88
The decimal form is 0.88. You can verify this using a calculator or long division. Now that we have the decimal, we can convert it to a percent.
To convert a decimal to a percent, multiply it by 100:0.88×100=88%0.88 \times 100 = 88\%0.88×100=88%
This is because “percent” means per hundred, so multiplying the decimal by 100 gives you the equivalent number out of 100. Therefore, 44:50 is equivalent to 88 percent.
These three forms—fraction, decimal, and percent—express the same value. They are simply different ways to represent a part of a whole. Being able to move among these forms helps in mathematics, science, finance, and everyday reasoning.
