What is the equivalent fraction of 0.95
The Correct Answer and Explanation is:
Correct Answer:
The equivalent fraction of 0.95 is 95/100, which simplifies to 19/20.
Explanation:
To convert a decimal number like 0.95 into a fraction, follow these steps:
Step 1: Understand the decimal place value.
The decimal 0.95 means 95 hundredths because the digit 5 is in the hundredths place.
So, write it as a fraction:0.95=951000.95 = \frac{95}{100}0.95=10095
Step 2: Simplify the fraction.
To simplify a fraction, divide both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD).
The GCD of 95 and 100 is 5.
So divide both numbers by 5:95÷5100÷5=1920\frac{95 \div 5}{100 \div 5} = \frac{19}{20}100÷595÷5=2019
Thus, the simplest form of the fraction equivalent to 0.95 is:1920\boxed{\frac{19}{20}}2019
Why this works:
Decimals are another way to represent fractions. The number 0.95 means 95 parts out of 100, just like writing 95/100. Simplifying helps express the same value in the smallest whole numbers possible.
This is important in mathematics because simplified fractions are easier to work with in equations, comparisons, and real-world applications like measuring ingredients or dividing money.
Conclusion:
The decimal 0.95 is equivalent to the fraction 95/100, which simplifies to 19/20. This process of converting decimals to fractions helps improve number sense and prepares for more advanced topics in math such as ratios, proportions, and algebra.
