Multiplying Mixed Numbers
Solution
Sure, here's how to multiply mixed numbers step by step:
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Convert the mixed numbers into improper fractions. A mixed number includes a whole number and a fraction. To convert it to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. This number becomes your new numerator, and the denominator remains the same.
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Multiply the numerators of the fractions to get the new numerator.
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Multiply the denominators of the fractions to get the new denominator.
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Simplify the fraction, if possible. You can do this by finding the greatest common factor of the numerator and denominator and dividing both by it.
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If the fraction is improper, you may want to convert it back to a mixed number. You do this by dividing the numerator by the denominator. The quotient is the whole number, and the remainder becomes the numerator of the fractional part.
Let's take an example:
Let's multiply 2 1/2 by 1 1/3.
Step 1: Convert to improper fractions. 2 1/2 becomes 5/2 and 1 1/3 becomes 4/3.
Step 2: Multiply the numerators. 5 * 4 = 20.
Step 3: Multiply the denominators. 2 * 3 = 6.
So now we have 20/6.
Step 4: Simplify the fraction. The greatest common factor of 20 and 6 is 2, so we divide both by 2 to get 10/3.
Step 5: Convert back to a mixed number. 10 divided by 3 is 3 with a remainder of 1, so our final answer is 3 1/3.
Similar Questions
Dividing Mixed Numbers
Adding Mixed Numbers
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Multiplying and Dividing Fractions
How to multiply a fraction?Group of answer choicesMultiply both the numerators and denominators. Simplify whenever possible.Multiply the denominators and add the numerators. Simplify whenever possible.Multiply the numerators and add the denominators. Simplify whenever possible. Flag question: Question 2Question 2Tips1 ptsHow to convert a mixed fraction?Group of answer choicesAdd the denominator and whole number then multiply the numerators. After that, copy the same denominator.Multiply the denominator and whole number then add the numerators. After that, copy the same denominator.Subtract the denominator and whole number then add the numerators. After that, copy the same denominator. Flag question: Question 3Question 3Tips1 ptsHow to divide a fraction?Group of answer choicesKeep, Change, and Flip.Change, Flip, and Keep.Flip, Keep, and Change. Flag question: Question 4Question 4Tips1 ptsWhat is a decimal?Group of answer choicesDecimals are a way to represent parts of a whole, with the decimal point separating the whole number part from the fractional part.Decimal is only a whole number.Decimals are a way to represent parts of a whole, without the decimal point separating the whole number part from the fractional part. Flag question: Question 5Question 5Tips1 ptsWhat is equivalent decimal?Group of answer choicesEquivalent decimals refer to decimal representations of no value.Equivalent decimals refer to decimal representations of the different value.Equivalent decimals refer to decimal representations of the same value.
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