# Describe a way to write a division problem that has the same answer as a given decimal division problem but has a whole numbr dividend and divisor.

## Expert Answers

Writing a division problem that has the same quotient as another is quite simple.  Your question says that equation 1 has decimals in its dividend and divisor, and that equation 2 must have a whole number for its dividend and divisor but must have the same quotient.

The solution is to keep your dividend and divisor in proportion, i.e. the ratio of dividend1 to divisor1 is equivalent to dividend2 to divisor2.

For example:  `1.75-:.5=3.5` and `175-:50=3.5` I just multiplied the dividend and divisor by 100 to get the decimal points out of the way, except in the quotient, but `1.75/.5=175/50` so the quotient remains the same.  The same applies to all divisions.  You multiply the dividend by a factor to make it a whole number (usually a power of 10), and then multiply the divisor by the same factor, and you will keep the same quotient.  Try it with other numbers.

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