Which simplified fraction is equivalent of 0.56. ?
The correct answer and explanation is:
Correct Answer:
The simplified fraction equivalent of 0.56 is 14/25.
Explanation:
To convert a decimal to a fraction, first understand the place value of the digits. The number 0.56 has two digits after the decimal point, which means it is in the hundredths place. This means: 0.56=561000.56 = \frac{56}{100}
Next, simplify the fraction by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). The GCD of 56 and 100 is 4.
Now divide both numbers by 4: 56÷4100÷4=1425\frac{56 ÷ 4}{100 ÷ 4} = \frac{14}{25}
So, the simplified fraction equivalent of 0.56 is 14/25.
Simplifying fractions is important because it helps express numbers in their lowest terms. A simplified fraction is easier to work with and more understandable in most math problems. The process involves identifying the greatest common factor that divides both the numerator and the denominator without leaving a remainder.
To confirm this result, convert 14/25 back to decimal form by dividing: 14÷25=0.5614 ÷ 25 = 0.56
This confirms that the simplified fraction is accurate.
Understanding decimal-to-fraction conversion also helps in real-life situations like measuring, budgeting, or comparing values. In mathematics and science, using fractions is often preferred when exact values are needed, and converting from a decimal ensures that precision is maintained in calculations.