280 divided by 60
Understand the Problem
The question is asking for the result of dividing 280 by 60, which is a straightforward mathematical operation.
Answer
The result is $4.67$ or $\frac{14}{3}$.
Answer for screen readers
The result of dividing $280$ by $60$ is $\frac{14}{3}$ or approximately $4.67$.
Steps to Solve
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Set up the division To solve for the result of dividing $280$ by $60$, we can set it up in the form of a fraction: $$ \frac{280}{60} $$
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Simplify the fraction Next, we simplify the fraction by finding the greatest common divisor (GCD) of $280$ and $60$.
- The prime factorization of $280$ is $2^3 \times 5 \times 7$.
- The prime factorization of $60$ is $2^2 \times 3 \times 5$.
- The GCD is $2^2 \times 5 = 20$.
Now, we divide both the numerator and the denominator by $20$: $$ \frac{280 \div 20}{60 \div 20} = \frac{14}{3} $$
- Convert to decimal or mixed number (if needed) To convert $\frac{14}{3}$ to a decimal, we divide $14$ by $3$: $$ 14 \div 3 = 4.6667 $$ This can also be written as the mixed number $4 \frac{2}{3}$.
The result of dividing $280$ by $60$ is $\frac{14}{3}$ or approximately $4.67$.
More Information
The fraction $\frac{14}{3}$ can be left in fractional form or converted to a decimal for convenience. It shows that when you divide 280 by 60, the quotient is slightly more than 4 and two-thirds.
Tips
- Forgetting to simplify the fraction correctly.
- Not converting the fraction to a decimal if that form is required.
- Miscalculating the division.
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