Math Problem Statement

if, y:3=4:26. find 'y'

Solution

The given equation is:

y3=426\frac{y}{3} = \frac{4}{26}

To solve for yy, we can cross-multiply:

y×26=4×3y \times 26 = 4 \times 3

Simplifying both sides:

26y=1226y = 12

Now, solve for yy by dividing both sides by 26:

y=1226y = \frac{12}{26}

Simplifying the fraction:

y=613y = \frac{6}{13}

Thus, y=613y = \frac{6}{13}.

Would you like any further details or explanations?

Related Questions:

  1. How can you solve similar proportion problems?
  2. What are the steps to simplify fractions?
  3. How does cross-multiplication work in equations with fractions?
  4. Can this method be used to solve any proportion problem?
  5. How do you handle ratios with variables in both parts of the equation?

Tip: Always check if a fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator.

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Math Problem Analysis

Mathematical Concepts

Proportions
Cross Multiplication
Simplifying Fractions

Formulas

y/3 = 4/26
Cross-multiplication: y * 26 = 4 * 3
Simplification of fractions: y = 6/13

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 6-8