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Word Problems on Addition and Subtraction of Fraction

Question...
Mr. Castillo works in a furniture shop. He cut 12---1/2 dm of wood from a 15-1/4 dm of wood for his table frame.
How long was the piece of wood left?

Sagot :

The operation must be Subtraction.
(Step 1) Construct the best equation.
X=15 1/4 - 12 1/2

(Step 2) Transform mixed fractions into improper fractions.
15 1/4 -> 61/4
12 1/2 -> 25/2
*denominator × whole + numerator

(Step 3) Equate both of the denominators.
X= 61/4 - 25/2
= 61-50/4
= 11/4
X= 2 3/4 dm, the answer

*11/4 is 11÷4 and the answer is 2 remainder 3 divisor 4 (2r.3/4).