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1 2/3 x 2 1/2

To multiply these numbers:

1. Convert each mixed number to an improper fraction, and then multiply the two fractions.

or

2. Convert each of the mixed numbers to its decimal equivalent, and then multiply those numbers.

Comments for math to lowest terms

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Apr 04, 2011
Multiply Mixed Numbers
by: Staff


The question:

1 2/3 x 2 1/2


The answer:

1 2/3 x 2 1/2

The easiest way (not the only way) to multiply these mixed numbers is to convert each number to an improper fraction, and then multiply the fractions.

Convert 1 2/3 to an improper fraction

The numerator will be 1*3+2 = 5

The denominator will be = 3

1 2/3 = 5/3


Convert 2 ½ to an improper fraction

The numerator will be 2*2+1 = 5

The denominator will be = 2

2 ½ = 5/2


Multiply the two improper fractions by multiplying the numerators together and the denominators together

(5/3)*(5/2)

= (5*5)/(3*2)

= 25/6

The final answer as an improper fraction is: 25/6


If you wish to convert the fraction 25/6 into a mixed number, just divide 25 by 6

25 ÷ 6 = 4 remainder 1

= 4 1/6

The final answer as a mixed number is: 4 1/6



Check your answer. Use a calculator or use Microsoft Excel

The original problem can be entered into Excel as follows:

= (1+2/3) * (2+1/2)

Excel will compute

= 4.166667


The final solution to the problem can be entered into Excel as follows:

= 4 + 1/6


Excel will compute

= 4.166667


These calculations verify that:

(1 2/3) * (2 ½) = 4 1/6 = 4.166667



Thanks for writing.


Staff
www.solving-math-problems.com


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