36/28 simplified
Understand the Problem
The question is asking to simplify the fraction 36/28. To do this, we can find the greatest common divisor (GCD) of 36 and 28 to reduce the fraction to its simplest form.
Answer
The simplified fraction is \( \frac{9}{7} \).
Answer for screen readers
The simplified fraction is ( \frac{9}{7} ).
Steps to Solve
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Find the GCD of the numbers
To simplify the fraction ( \frac{36}{28} ), we first need to determine the greatest common divisor (GCD) of 36 and 28.- The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
- The factors of 28 are: 1, 2, 4, 7, 14, 28
- The common factors are: 1, 2, 4
- Therefore, the GCD is 4.
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Divide both the numerator and the denominator by the GCD
Now that we have the GCD, we will divide both the numerator (36) and the denominator (28) by 4.$$ \frac{36 \div 4}{28 \div 4} = \frac{9}{7} $$
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State the simplified fraction
Now we can state the result of our simplification.The simplified form of ( \frac{36}{28} ) is ( \frac{9}{7} ).
The simplified fraction is ( \frac{9}{7} ).
More Information
The simplification of fractions is a common practice in mathematics to express numbers in their simplest form. Understanding GCD helps in reducing fractions and making calculations easier.
Tips
- Rounding errors while dividing: It's important to ensure that division is done correctly. Always double-check the math.
- Not identifying all factors: Make sure to list out all factors to find the correct GCD.
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