SOLUTION: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for entertainmant. What fractional part of their income is spen

Question 388716: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for entertainmant. What fractional part of their income is spent on these items altogether?
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
(1)/(10)+(1)/(4)+(1)/(5)+(2)/(15)
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 60. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
(1)/(4)*(15)/(15)+(1)/(5)*(12)/(12)+(2)/(15)*(4)/(4)+(1)/(10)*(6)/(6)
Complete the multiplication to produce a denominator of 60 in each expression.
(15)/(60)+(12)/(60)+(8)/(60)+(6)/(60)
Combine the numerators of all fractions that have common denominators.
(15+12+8+6)/(60)
Combine all like terms in the numerator.
41/60
(41)/(60)= fractional part of their income is spent on these items altogether
The approximate value of (41)/(60) is 0.6833333.
0.6833333 is used=41/60

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