(8)/(16)-(6)/(30) - subtraction of fractions

Solution for the given fractions

• 8/16 - 6/30 = ?
• The common denominator of the two fractions is: 240
• 8/16 = (8*15)/(15*16) = 120/240
• 6/30 = (6*8)/(8*30) = 48/240
• Fractions adjusted to a common denominator
• 8/16 - 6/30 = 120/240 - 48/240
• 120/240 - 48/240 = (120-48)/240
• (120-48)/240 = 72/240
• 72/240 = 3/10

Solution for the given fractions

$ \frac{8}{16 }-\frac{ 6}{30 }=? $

The common denominator of the two fractions is: 240

$ \frac{8}{16 }= \frac{(8*15)}{(15*16)} =\frac{ 120}{240} $

$ \frac{6}{30 }= \frac{(6*8)}{(8*30)} =\frac{ 48}{240} $

Fractions adjusted to a common denominator

$ \frac{8}{16 }-\frac{ 6}{30 }=\frac{ 120}{240 }-\frac{ 48}{240} $

$ \frac{120}{240 }-\frac{ 48}{240 }= \frac{(120-48)}{240} $

$ \frac{(120-48)}{240 }=\frac{ 72}{240} $

$ \frac{72}{240 }=\frac{ 3}{10} $

$ $

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