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Difficulty: EasyFraction Addition and Subtraction in Context

A quartermaster is distributing supplies to a unit. The unit requires 4344\frac{3}{4} pallets of rations. If 2142\frac{1}{4} pallets have already been delivered, how many more pallets are needed?

Answer: 2.5 pallets

Answer

2.5
To find how many more pallets are needed, subtract the amount already delivered (2142\frac{1}{4}) from the total required (4344\frac{3}{4}). Subtracting the whole numbers gives 4−2=24 - 2 = 2. Subtracting the fractions gives 34−14=24\frac{3}{4} - \frac{1}{4} = \frac{2}{4}, which simplifies to 12\frac{1}{2}. The remaining amount is 2122\frac{1}{2} pallets, which can be expressed as the decimal 2.52.5.

Step-by-Step Solution

1
Identify the total pallets required and the amount already delivered.
Total = 4344\frac{3}{4} pallets, Delivered = 2142\frac{1}{4} pallets.
Understanding the given values is necessary to determine the remaining balance.
2
Set up a subtraction equation to find the remaining pallets needed.
434−2144\frac{3}{4} - 2\frac{1}{4}
Subtracting the part that has been delivered from the required total gives the remaining amount.
3
Subtract the whole numbers and the fractions.
4−2=24 - 2 = 2 and 34−14=24\frac{3}{4} - \frac{1}{4} = \frac{2}{4}.
Since the fractions already have a common denominator, they can be subtracted directly.
4
Simplify the fraction and convert to a decimal format.
24\frac{2}{4} simplifies to 12\frac{1}{2}. The mixed number 2122\frac{1}{2} equals 2.52.5.
Numeric answers are typically expressed as decimals.

Key Concept

Subtracting mixed numbers with like denominators
Estimated Time:45s
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Topics

Fraction Addition and Subtraction in Context

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