Math Problem Statement

What is the total quantity of liquid ingredients? Show your work. (The liquid ingredients are milk and oil.)

Solution

To find the total quantity of liquid ingredients, we need to sum the amounts of milk and oil, as specified in the problem.

From the image:

  • Milk: 14\frac{1}{4} cup
  • Oil: 38\frac{3}{8} cup

Step-by-step addition of fractions:

  1. To add 14\frac{1}{4} and 38\frac{3}{8}, we first need a common denominator.
  2. The least common denominator (LCD) between 4 and 8 is 8.
    • Convert 14\frac{1}{4} to have a denominator of 8:
      14=28\frac{1}{4} = \frac{2}{8}
  3. Now add the fractions:
    28+38=58\frac{2}{8} + \frac{3}{8} = \frac{5}{8}

So, the total quantity of liquid ingredients is 58\frac{5}{8} cup.

Would you like more details or have any questions?

Relative Questions:

  1. How do you convert fractions with different denominators to have a common one?
  2. Can you explain why the least common denominator is important in fraction addition?
  3. What are the steps to simplify fractions after addition?
  4. How would you approach subtraction of liquid ingredients if one is removed from the recipe?
  5. Could you mix improper fractions with mixed numbers and still find the total amount?

Tip:

When adding fractions, always ensure they have a common denominator before performing the operation to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Fraction Addition
Common Denominators

Formulas

a/b + c/d = (ad + bc) / bd (for fractions)

Theorems

Least Common Denominator

Suitable Grade Level

Grades 5-6