# Calculate: 7 (1)/(2)/15 * 1000

## Expression: $7 \frac{ 1 }{ 2 }\div15 \times 1000$

Convert the mixed number to an improper fraction

$\frac{ 15 }{ 2 }\div15 \times 1000$

Dividing is equivalent to multiplying by the reciprocal

$\frac{ 15 }{ 2 } \times \frac{ 1 }{ 15 } \times 1000$

Cancel out the greatest common factor $15$

$\frac{ 1 }{ 2 } \times 1000$

Cancel out the greatest common factor $2$

$500$

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