Q:

How do you simplify a whole number and a mixed number as a ratio or a fraction?

A:

Quick Answer

A whole number and a mixed number are simplified by first expressing the sum as a fraction with the same denominator as the proper fraction portion of the mixed number, and then simplifying that fraction if possible. The resulting number is an improper fraction. To convert the improper fraction to a ratio such as x:y, write the numerator of the fraction before the colon, with the denominator after.

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Full Answer

Before adding a whole and a mixed number to get one fraction, both numbers must be converted into improper fractions. Convert the whole number by multiplying it by the denominator of the fraction portion of the mixed number. This number is now the numerator of the new improper fraction, and the denominator is the same denominator from the mixed number.

The mixed number is converted to an improper fraction similarly. First multiply the whole number by the denominator of the fraction, then add this product to the numerator of the fraction. This number is once again the numerator of the new improper fraction; the denominator remains the same as in the fraction.

Finally, sum the two numbers by adding the numerators, keeping the denominator the same. If both the numerator and denominator have common factors such as two or three, simplify the improper fraction by removing these factors.

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