Question

7 1/6=4 3/5=p
What does p equal

Answer 1

To find the value of \( p \) in the equation \( 7 \frac{1}{6} = 4 \frac{3}{5} = p \), we first need to convert the mixed numbers into improper fractions and then into decimal form.

1. **Convert \( 7 \frac{1}{6} \)**:
\[
7 \frac{1}{6} = 7 + \frac{1}{6} = \frac{42}{6} + \frac{1}{6} = \frac{43}{6}
\]

2. **Convert \( 4 \frac{3}{5} \)**:
\[
4 \frac{3}{5} = 4 + \frac{3}{5} = \frac{20}{5} + \frac{3}{5} = \frac{23}{5}
\]

Now we have:
- \( p = \frac{43}{6} \)
- \( p = \frac{23}{5} \)

To compare \( \frac{43}{6} \) and \( \frac{23}{5} \), we can find a common denominator or convert both to decimal form:

1. **Convert \( \frac{43}{6} \) to decimal**:
\[
43 \div 6 \approx 7.1667
\]

2. **Convert \( \frac{23}{5} \) to decimal**:
\[
23 \div 5 = 4.6
\]

Since the two values are not equal, let's express them both in decimal form more accurately.

- \( 7 \frac{1}{6} \) is approximately \( 7.1667 \)
- \( 4 \frac{3}{5} \) is \( 4.6 \)

Thus, \( 7 \frac{1}{6} \neq 4 \frac{3}{5} \). Therefore, the equation \( 7 \frac{1}{6} = 4 \frac{3}{5} \) isn't valid. As such, both \( p = 7 \frac{1}{6} \) and \( p = 4 \frac{3}{5} \) represent two different values and cannot be equal.

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