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Question

Difficulty: EasyFraction Operations

A chef is preparing a special sauce and needs 78\frac{7}{8} of a cup of broth. They currently have 14\frac{1}{4} of a cup of broth in a measuring jug. How much more broth must be added to reach the required amount?

  1. A
    23\frac{2}{3}
  2. B
    34\frac{3}{4}
  3. 58\frac{5}{8}Answer
  4. D
    1181\frac{1}{8}

Answer

The chef needs 58\frac{5}{8} of a cup of additional broth.
The correct answer is found by taking the total amount needed and subtracting the amount already available. First, convert 14\frac{1}{4} to an equivalent fraction with a denominator of 8, which is 28\frac{2}{8}. Then, subtract 28\frac{2}{8} from 78\frac{7}{8} to get 58\frac{5}{8}.

Step-by-Step Solution

1
Set up a subtraction problem to find the difference between the total amount of broth needed and the amount currently on hand.
78−14\frac{7}{8} - \frac{1}{4}
Subtracting the available amount from the required total yields the missing remainder.
2
Find a common denominator so the fractions can be subtracted. Multiply the numerator and denominator of the second fraction by 2.
14=1×24×2=28\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}
Fractions must have the same denominator (in this case, 8) before they can be added or subtracted.
3
Subtract the numerators while keeping the common denominator the same.
78−28=58\frac{7}{8} - \frac{2}{8} = \frac{5}{8}
This calculation provides the final exact fraction of additional broth required.

Key Concept

Subtracting fractions with unlike denominators by first converting to a common denominator.
Estimated Time:45s
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Topics

Fraction Operations

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