Mixed Number Calculator | Mixed Fraction Calculator

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Mixed Fraction Calculator

Mixed Fraction Calculator

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Result:

How to Use the Mixed Fraction Calculator

Enter the First Mixed Fraction

Start by entering the first mixed fraction. You’ll see three input fields for the first number:

  • Whole: Type in the whole number part (e.g., for 2 3/4, type 2 here).
  • Numerator: Enter the numerator part of the fraction (e.g., 3 for 3/4).
  • Denominator: Enter the denominator part (e.g., 4 for 3/4).

Select an Operation

Choose the operation you’d like to perform:

  • Press + for addition, for subtraction, Γ— for multiplication, or Γ· for division.
  • The selected operator will display between the two mixed fraction entries.

Enter the Second Mixed Fraction

In the second set of input fields, enter the whole number, numerator, and denominator of the second mixed fraction just like the first.

Calculate the Result

  • Press the Calculate button to see the result and a breakdown of the calculation steps below.
  • The calculator will show the original equation, convert mixed fractions to improper fractions, and perform each step based on the selected operation.

Clear for a New Calculation

  • Press the Clear button to reset all input fields and remove the result.
  • Now you’re ready to enter a new calculation.

Practice Scenarios

1. Adding Two Mixed Fractions

Imagine you want to add 2342 \frac{3}{4} and 1121 \frac{1}{2}.

  • Step 1: Enter 2 in the first whole number field, 3 in the numerator, and 4 in the denominator.
  • Step 2: Click the + button to select addition.
  • Step 3: Enter 1 in the second whole number field, 1 in the numerator, and 2 in the denominator.
  • Step 4: Press Calculate. You’ll see:
    • Equation: 234+1122 \frac{3}{4} + 1 \frac{1}{2}
    • Step 1: Convert mixed fractions to improper fractions: 114+32\frac{11}{4} + \frac{3}{2}
    • Step 2: Add fractions: 228+128=348\frac{22}{8} + \frac{12}{8} = \frac{34}{8}
    • Result: Simplified, 4144 \frac{1}{4}

2. Subtracting Mixed Fractions

Let’s try 325βˆ’1453 \frac{2}{5} – 1 \frac{4}{5}.

  • Step 1: Enter 3 for the whole number, 2 for the numerator, and 5 for the denominator in the first input.
  • Step 2: Click the button for subtraction.
  • Step 3: In the second fraction, enter 1 in the whole number field, 4 in the numerator, and 5 in the denominator.
  • Step 4: Press Calculate. The breakdown will show:
    • Equation: 325βˆ’1453 \frac{2}{5} – 1 \frac{4}{5}
    • Step 1: Convert to improper fractions: 175βˆ’95\frac{17}{5} – \frac{9}{5}
    • Step 2: Subtract fractions: 17βˆ’95=85\frac{17 – 9}{5} = \frac{8}{5}
    • Result: 1351 \frac{3}{5}

3. Multiplying Mixed Fractions

Try multiplying 1131 \frac{1}{3} and 2142 \frac{1}{4}.

  • Step 1: Enter 1 as the whole number, 1 for the numerator, and 3 for the denominator in the first set of fields.
  • Step 2: Click the Γ— button to select multiplication.
  • Step 3: Enter 2 as the whole number, 1 as the numerator, and 4 as the denominator in the second set of fields.
  • Step 4: Click Calculate to see:
    • Equation: 113Γ—2141 \frac{1}{3} \times 2 \frac{1}{4}
    • Step 1: Convert to improper fractions: 43Γ—94\frac{4}{3} \times \frac{9}{4}
    • Step 2: Multiply fractions: 4Γ—93Γ—4=3612\frac{4 \times 9}{3 \times 4} = \frac{36}{12}
    • Result: 3

4. Dividing Mixed Fractions

Let’s divide 2232 \frac{2}{3} Γ· 1161 \frac{1}{6}.

  • Step 1: Enter 2 in the whole number field, 2 for the numerator, and 3 for the denominator for the first fraction.
  • Step 2: Click the Γ· button to choose division.
  • Step 3: Enter 1 in the whole number field, 1 as the numerator, and 6 as the denominator in the second fraction.
  • Step 4: Click Calculate. The detailed solution will display:
    • Equation: 223Γ·1162 \frac{2}{3} \div 1 \frac{1}{6}
    • Step 1: Convert to improper fractions: 83Γ·76\frac{8}{3} \div \frac{7}{6}
    • Step 2: Division: 8Γ—63Γ—7=4821\frac{8 \times 6}{3 \times 7} = \frac{48}{21}
    • Result: Simplified, 2272 \frac{2}{7}

This guide demonstrates the full functionality of the calculator for various operations, with each fraction displayed in traditional mathematical notation. Enjoy calculating!​