Question

81×( \frac{15}{9} ) ( \frac{13}{2} ) ( \frac{15}{} ) 81×( \frac{17}{7} ) ( \frac{15}{2} ) ( \frac{15}{} )

Explanation:

Step1: Analyze the expression

The left expression is \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \)? Wait, maybe it's \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \)? Wait, perhaps the original is \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \)? Wait, maybe re - express 81 as \( 9\times9 \) or \( 3^4 \), and \( \frac{15}{9}=\frac{5}{3} \). Wait, maybe the left expression is \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \). Let's simplify step by step. First, simplify \( 81\div9 = 9 \), so \( 81\times\frac{15}{9}=9\times15 = 135 \). Then the expression becomes \( 135\times\frac{13}{2}\times15 \). \( 135\times15=\frac{135\times15}{1}=\frac{2025}{1} \), then \( \frac{2025}{1}\times\frac{13}{2}=\frac{2025\times13}{2}=\frac{26325}{2}=13162.5 \).

For the right expression, it seems to be \( 81\times\frac{17}{7}\times\frac{15}{2}\times15 \)? Wait, maybe the right expression is \( 81\times\frac{17}{7}\times\frac{15}{2}\times15 \). Let's calculate the left one first (assuming the left is a multiplication of fractions and integers).

Wait, maybe the left expression is \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \). Let's do it step by step:

1. Simplify \( 81\times\frac{15}{9} \):

• \( 81\div9 = 9 \), so \( 81\times\frac{15}{9}=9\times15 = 135 \).

1. Then multiply by \( \frac{13}{2} \) and 15:

• \( 135\times15 = 2025 \).
• \( 2025\times\frac{13}{2}=\frac{2025\times13}{2}=\frac{26325}{2}=13162.5 \).

If we assume the right expression is \( 81\times\frac{17}{7}\times\frac{15}{2}\times15 \):

1. \( 81\times15\times15=81\times225 = 18225 \).
2. Then \( 18225\times\frac{17}{7}=\frac{18225\times17}{7}=\frac{309825}{7}\approx44260.71 \).

But maybe the problem is to simplify or calculate the left - hand side expression. Let's re - check the left expression: \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \).

Another way: \( 81\times\frac{15}{9}=9\times15 = 135 \), \( 135\times15 = 2025 \), \( 2025\times\frac{13}{2}=\frac{2025\times13}{2}=\frac{26325}{2}=13162.5 \).

Answer:

If we calculate the left - hand side expression \( 81\times\frac{15}{9}\times\frac{13}{2}\times15 \), the result is \( \frac{26325}{2}=13162.5 \) (or if we consider the right - hand side, but based on the left - hand side calculation as per the visible part)