Questions: 278/536 simplified

278/536 simplified
Transcript text: c. $\frac{278}{536}$ simplified
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Solution

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Solution Steps

To simplify the fraction \(\frac{278}{536}\), we need to find the greatest common divisor (GCD) of the numerator and the denominator. Once we have the GCD, we divide both the numerator and the denominator by this number to get the simplified fraction.

Step 1: Identify the Greatest Common Divisor (GCD)

To simplify the fraction \(\frac{278}{536}\), we first need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 278 and 536 is 2.

Step 2: Divide the Numerator and Denominator by the GCD

Next, we divide both the numerator and the denominator by the GCD to simplify the fraction:

  • Simplified numerator: \(\frac{278}{2} = 139\)
  • Simplified denominator: \(\frac{536}{2} = 268\)

Final Answer

\(\boxed{\frac{139}{268}}\)

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