A ribbon is 5 (1/6) meters long. Mia cuts off 2 meters for a craft project. How much ribbon is left?

Answer: 316 meters3\frac{1}{6}\text{ meters} (or 196 meters\frac{19}{6}\text{ meters})

Step-by-step solution

Step 1: Identify given quantities and operation

The total length of the ribbon is 516 meters5\frac{1}{6}\text{ meters}, and Mia cuts off 2 meters2\text{ meters}. To find the length of the ribbon that is left, we subtract the cut-off length from the initial total length.

Step 2: Separate whole numbers and fractions

A mixed fraction consists of an integer part and a fractional part: 516=5+165\frac{1}{6} = 5 + \frac{1}{6}. Since we are subtracting a whole number, 22, we can directly subtract the whole number parts: 5−2=35 - 2 = 3.

Step 3: Combine the whole and fractional parts

Combining the remaining whole number 33 and the fractional part 16\frac{1}{6} gives 316 meters3\frac{1}{6}\text{ meters}. Alternatively, in improper fraction form, this is equal to 196 meters\frac{19}{6}\text{ meters}.

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