Math  /  Numbers & Operations

Question3556=\frac{35}{56}=

Studdy Solution

STEP 1

1. We are asked to simplify the fraction 3556\frac{35}{56}.
2. Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 2

1. Find the 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

Find the GCD of 3535 and 5656.
- List the factors of 3535: 1,5,7,351, 5, 7, 35. - List the factors of 5656: 1,2,4,7,8,14,28,561, 2, 4, 7, 8, 14, 28, 56. - Identify the common factors: 1,71, 7.
The greatest common factor is 77.

STEP 4

Divide both the numerator and the denominator by their GCD, which is 77.
3556=35÷756÷7=58\frac{35}{56} = \frac{35 \div 7}{56 \div 7} = \frac{5}{8}

STEP 5

Write the simplified fraction.
The simplified form of 3556\frac{35}{56} is 58\frac{5}{8}.
The simplified fraction is:
58\boxed{\frac{5}{8}}

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