36/14 simplify convert to a mixed number

Answer 1

To simplify the fraction \( \frac{36}{14} \) and convert it to a mixed number, follow these steps:

1. Simplify the Fraction:

   • Find the greatest common divisor (GCD) of 36 and 14.
   • The GCD of 36 and 14 is 2.
   • Divide the numerator and denominator by the GCD: \[ \frac{36 \div 2}{14 \div 2} = \frac{18}{7} \]

2. Convert to a Mixed Number:

   • Divide the numerator (18) by the denominator (7): \[ 18 \div 7 = 2 \quad \text{(whole number)} \]
   • The remainder is: \[ 18 - (7 \times 2) = 18 - 14 = 4 \]
   • Therefore, \( \frac{18}{7} \) can be expressed as the mixed number: \[ 2 \frac{4}{7} \]

So, the simplified fraction \( \frac{36}{14} \) as a mixed number is \( 2 \frac{4}{7} \).