(51)/(6)-(34)/(5) - subtraction of fractions

Solution for the given fractions

• 51/6 - 34/5 = ?
• The common denominator of the two fractions is: 30
• 51/6 = (5*51)/(5*6) = 255/30
• 34/5 = (6*34)/(5*6) = 204/30
• Fractions adjusted to a common denominator
• 51/6 - 34/5 = 255/30 - 204/30
• 255/30 - 204/30 = (255-204)/30
• (255-204)/30 = 51/30
• 51/30 = 17/10

Solution for the given fractions

$ \frac{51}{6 }-\frac{ 34}{5 }=? $

The common denominator of the two fractions is: 30

$ \frac{51}{6 }= \frac{(5*51)}{(5*6)} =\frac{ 255}{30} $

$ \frac{34}{5 }= \frac{(6*34)}{(5*6)} =\frac{ 204}{30} $

Fractions adjusted to a common denominator

$ \frac{51}{6 }-\frac{ 34}{5 }=\frac{ 255}{30 }-\frac{ 204}{30} $

$ \frac{255}{30 }-\frac{ 204}{30 }= \frac{(255-204)}{30} $

$ \frac{(255-204)}{30 }=\frac{ 51}{30} $

$ \frac{51}{30 }=\frac{ 17}{10} $

$ $

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