Answer :
Let's solve the equation \( \frac{1}{3} = \frac{y}{27} \) for \( y \).
### Step-by-Step Solution:
1. Understanding the Equation:
- The equation \(\frac{1}{3} = \frac{y}{27}\) states that the value on the left side of the equality is equal to the value on the right side.
2. Cross Multiplying:
- To solve for \( y \), we can use the method of cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction.
[tex]\[ 1 \times 27 = 3 \times y \][/tex]
3. Simplifying the Multiplication:
- Perform the multiplication on both sides:
[tex]\[ 27 = 3y \][/tex]
4. Isolating \( y \):
- To isolate \( y \), divide both sides of the equation by 3:
[tex]\[ y = \frac{27}{3} \][/tex]
5. Perform the Division:
- Simplify the fraction \(\frac{27}{3}\):
[tex]\[ y = 9 \][/tex]
### Conclusion:
The value of \( y \) that satisfies the equation \(\frac{1}{3} = \frac{y}{27}\) is:
[tex]\[ y = 9 \][/tex]
### Step-by-Step Solution:
1. Understanding the Equation:
- The equation \(\frac{1}{3} = \frac{y}{27}\) states that the value on the left side of the equality is equal to the value on the right side.
2. Cross Multiplying:
- To solve for \( y \), we can use the method of cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction.
[tex]\[ 1 \times 27 = 3 \times y \][/tex]
3. Simplifying the Multiplication:
- Perform the multiplication on both sides:
[tex]\[ 27 = 3y \][/tex]
4. Isolating \( y \):
- To isolate \( y \), divide both sides of the equation by 3:
[tex]\[ y = \frac{27}{3} \][/tex]
5. Perform the Division:
- Simplify the fraction \(\frac{27}{3}\):
[tex]\[ y = 9 \][/tex]
### Conclusion:
The value of \( y \) that satisfies the equation \(\frac{1}{3} = \frac{y}{27}\) is:
[tex]\[ y = 9 \][/tex]
