Converting 64% to Its Decimal and Fractional Equivalents

The percentage 64% is equal to:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:28 Factor 64 into 4 and 16, and 100 into 25 and 4
00:34 Reduce wherever possible
00:41 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The percentage 64% is equal to:

2

Step-by-step solution

We are given the percentage 64% and need to express it as a fraction.

First, recall that a percentage is simply a fraction with a denominator of 100. Therefore, we can write 64% as:

64100 \frac{64}{100}

Next, we need to simplify the fraction 64100 \frac{64}{100} to its lowest terms. To do this, we find the greatest common divisor (GCD) of 64 and 100. The GCD of 64 and 100 is 4.

Divide both the numerator and the denominator by their GCD:

64÷4100÷4=1625 \frac{64 \div 4}{100 \div 4} = \frac{16}{25}

Thus, 64% can be expressed as the fraction 1625 \frac{16}{25} .

Comparing this result to the multiple-choice options given, we see that the correct answer is:

1625 \frac{16}{25}

3

Final Answer

1625 \frac{16}{25}

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations