2.4 ÷ 4 =
Understand the Problem
The question is asking for the solution to the division problem 2.4 divided by 4, which is a straightforward arithmetic operation.
Answer
The answer is \( 0.6 \).
Answer for screen readers
The result of ( 2.4 \div 4 ) is ( 0.6 ).
Steps to Solve
- Set up the division problem
Start with the division problem: ( 2.4 \div 4 ).
- Convert the decimal if needed
In this case, 2.4 can be treated as is. The division can be carried out directly with decimals.
- Perform the division
When dividing, you can interpret ( 2.4 ) as ( \frac{24}{10} ): $$ 2.4 \div 4 = \frac{24}{10} \div 4 $$ This is equivalent to multiplying by the reciprocal of 4: $$ \frac{24}{10} \times \frac{1}{4} = \frac{24}{40} $$
- Simplify the result
Simplify ( \frac{24}{40} ) by dividing both the numerator and the denominator by 8: $$ \frac{24 \div 8}{40 \div 8} = \frac{3}{5} $$
- Convert back to decimal
Convert ( \frac{3}{5} ) back to a decimal: $$ \frac{3}{5} = 0.6 $$
The result of ( 2.4 \div 4 ) is ( 0.6 ).
More Information
Dividing by a number is finding how many times that number fits into another. In this case, ( 4 ) fits into ( 2.4 ) a total of ( 0.6 ) times, which means you could think of ( 2.4 ) as being ( 60% ) of ( 4 ).
Tips
- Misplacing the decimal: A common mistake is forgetting to adjust the decimal point correctly when dividing. Always keep track of the decimal places.
- Incorrect simplification: When simplifying fractions, ensure you find the greatest common divisor to avoid errors.
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