Answered

Clarette purchased a 3 1/3 pound of sirloin steak at a butcher store, returning home she cut out the bone and weighed it. if the weight of the meat was 2 7/8 pounds, what is the weight of the bone cut off?

Sagot :

Total weight:  3 1/3 lbs.  or  10/3 lbs.
Meat weight:  2  7/8  or    23/8 lbs.
Bone weight:  x

Equation:
x = 10/3 - 23/8

LCD (Least common denominator), listing method:
3 = 3, 6, 9, 12, 15, 18, 21, 24
8 = 8, 16, 24

Re-write the equation with similar fractions:
x = 10/3 - 23/8
x = 80/24  -  69/24
x = 11/24  

Final Answer:  The weight of the bone is 11/24  lbs.



11/24   +   69/24   = 10/3 lbs.
80/24  =  10/3
10/3 = 10/3   or 3  1/3


Lowest term of 80/24 = 10/3
(numerator)  80 ÷ 8 = 10     Divide by GCF = 8
(denominator)  24 ÷ 8 = 3   Divide by GCF = 8



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