(9)/(10)+(64)/(15) - addition of fractions

Solution for the given fractions

• 9/10 + 64/15 = ?
• The common denominator of the two fractions is: 30
• 9/10 = (3*9)/(3*10) = 27/30
• 64/15 = (2*64)/(2*15) = 128/30
• Fractions adjusted to a common denominator
• 9/10 + 64/15 = 27/30 + 128/30
• 27/30 + 128/30 = (27+128)/30
• (27+128)/30 = 155/30
• 155/30 = 31/6

Solution for the given fractions

$ \frac{9}{10 }+\frac{ 64}{15 }=? $

The common denominator of the two fractions is: 30

$ \frac{9}{10 }= \frac{(3*9)}{(3*10)} =\frac{ 27}{30} $

$ \frac{64}{15 }= \frac{(2*64)}{(2*15)} =\frac{ 128}{30} $

Fractions adjusted to a common denominator

$ \frac{9}{10 }+\frac{ 64}{15 }=\frac{ 27}{30 }+\frac{ 128}{30} $

$ \frac{27}{30 }+\frac{ 128}{30 }= \frac{(27+128)}{30} $

$ \frac{(27+128)}{30 }=\frac{ 155}{30} $

$ \frac{155}{30 }=\frac{ 31}{6} $

$ $

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