1140 divided by 60 is a mathematical operation that involves dividing the number 1140 by the number 60. This division can be expressed as a fraction, which is the ratio of the two numbers, or as a decimal, which is the result of the division.
To perform the division, you can follow these steps:
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Set up the problem by writing the division as an equation: ( 1140 \div 60 )
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Multiply the dividend (1140) by the denominator (60)'s reciprocal. The reciprocal of 60 is ( \frac{1}{60} ):
( 1140 \times \frac{1}{60} )
- Simplify the expression by canceling out common factors. In this case, both 1140 and 60 can be divided by 60:
( \frac{1140 \div 60}{60 \div 60} = \frac{19}{1} )
This simplifies to:
( 19 )
So, ( 1140 \div 60 = 19 ).
As a decimal, ( 1140 \div 60 = 19.0 ).
When working with fractions, it's important to simplify the fraction to its lowest terms. In this case, ( 19 ) is the lowest term, so the final answer is a mixed number:
( 1 \frac{10}{19} )
This means that the division resulted in a whole number (1) and a fraction with a numerator of 10 and a denominator of 19.
In many real-world situations, such as measurements or financial calculations, it's more common to work with decimal numbers rather than fractions. Whether you're dealing with inches and feet, or dollars and cents, performing these calculations without a calculator can be beneficial. However, in more complex tasks, using a calculator can save time and reduce the risk of errors.
