Math  /  Numbers & Operations

QuestionSimplify 1520\frac{15}{20} \square

Studdy Solution

STEP 1

1. The fraction 1520\frac{15}{20} needs to be simplified.
2. Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 2

1. Find the greatest common divisor (GCD) of the numerator and the denominator.
2. Divide both the numerator and the denominator by the GCD.
3. Write the simplified fraction.

STEP 3

Identify the numerator and the denominator of the fraction. The numerator is 1515 and the denominator is 2020.

STEP 4

Find the GCD of 1515 and 2020. - List the factors of 1515: 1,3,5,151, 3, 5, 15. - List the factors of 2020: 1,2,4,5,10,201, 2, 4, 5, 10, 20. - The greatest common factor is 55.

STEP 5

Divide both the numerator and the denominator by the GCD, which is 55.
1520=15÷520÷5=34\frac{15}{20} = \frac{15 \div 5}{20 \div 5} = \frac{3}{4}

STEP 6

Write the simplified fraction.
The simplified form of 1520\frac{15}{20} is 34\frac{3}{4}.
The simplified fraction is:
34\boxed{\frac{3}{4}}

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