Write each percent as a fraction. Give answers in lowest terms.
$35 percent sign$

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Recall that a percent means 'per hundred,' so 35% can be written as the fraction $ \frac{35}{100} $.

Write the fraction $ \frac{35}{100} $ explicitly to represent 35%.

Find the greatest common divisor (GCD) of the numerator (35) and the denominator (100) to simplify the fraction.

Divide both the numerator and the denominator by their GCD to reduce the fraction to its lowest terms.

Write the simplified fraction as the final answer representing 35% in lowest terms.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Understanding Percentages

A percentage represents a part out of 100. For example, 35% means 35 parts out of 100. Recognizing this helps convert percentages into fractions by placing the percentage number over 100.

Converting Percent to Fraction

To convert a percent to a fraction, write the percent number as the numerator and 100 as the denominator. For 35%, this becomes 35/100. This step is essential for expressing percentages in fractional form.

Simplifying Fractions

After converting to a fraction, simplify it by dividing numerator and denominator by their greatest common divisor (GCD). For 35/100, divide both by 5 to get 7/20, the fraction in lowest terms.

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