Multiply the following mixed numbers:a) 2 1/3 × 3 1/2
Question
Multiply the following mixed numbers:a) 2 1/3 × 3 1/2
Solution
Sure, here are the steps to multiply the mixed numbers 2 1/3 and 3 1/2:
Step 1: Convert the mixed numbers into improper fractions.
- For 2 1/3, the improper fraction is (2*3 + 1)/3 = 7/3.
- For 3 1/2, the improper fraction is (3*2 + 1)/2 = 7/2.
Step 2: Multiply the two improper fractions.
- (7/3) * (7/2) = 49/6.
Step 3: Convert the result back into a mixed number.
- 49 divided by 6 is 8 with a remainder of 1, so the mixed number is 8 1/6.
So, 2 1/3 × 3 1/2 = 8 1/6.
Similar Questions
Multiplying Mixed Numbers
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A student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the correct answer. The number was :Options10152012
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.
Dividing Mixed Numbers
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