Solve for Unknown Fraction Calculator

How to Solve for Unknown Fractions

Solving for unknown fractions involves using the principle of cross multiplication. This method allows us to find a missing numerator or denominator in a fraction equation. Here's a comprehensive guide on how to use the unknown fraction calculator and understand the calculation process:

Unknown Fraction Formula

For two equal fractions \(\frac{a}{b} = \frac{c}{d}\), where one value is unknown:

• Cross multiplication: \(a \times d = b \times c\)
• To find unknown a: \(a = \frac{b \times c}{d}\)
• To find unknown b: \(b = \frac{a \times d}{c}\)
• To find unknown c: \(c = \frac{a \times d}{b}\)
• To find unknown d: \(d = \frac{b \times c}{a}\)

Calculation Steps

1. Identify the known and unknown values in the fraction equation.
2. Apply the cross multiplication formula.
3. Solve for the unknown value using the appropriate equation.

Example Calculation

Let's solve for x in the equation \(\frac{3}{x} = \frac{6}{10}\):

1. Identify known values:
   • a = 3
   • b = x (unknown)
   • c = 6
   • d = 10
2. Apply cross multiplication:

   \(3 \times 10 = x \times 6\)

3. Solve for x:

   \(x = \frac{3 \times 10}{6} = \frac{30}{6} = 5\)

Visual Representation

The visual representation shows how both fractions \(\frac{3}{5}\) and \(\frac{6}{10}\) are equivalent, representing the same value of 0.6 or 60%. The cross multiplication process demonstrates how we solved for the unknown value x = 5.