Math Problem Statement
if, y:3=4:26. find 'y'
Solution
The given equation is:
To solve for , we can cross-multiply:
Simplifying both sides:
Now, solve for by dividing both sides by 26:
Simplifying the fraction:
Thus, .
Would you like any further details or explanations?
Related Questions:
- How can you solve similar proportion problems?
- What are the steps to simplify fractions?
- How does cross-multiplication work in equations with fractions?
- Can this method be used to solve any proportion problem?
- 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