Question

enter the correct answer.
find the product.
$2\frac{1}{2} \times \frac{3}{4} = ?\frac{\square}{\square}$
give your answer as a mixed number in simplest form.
enter the whole number.
start

Explanation:

Step1: Convert mixed number to improper fraction

To multiply a mixed number by a fraction, first convert the mixed number \(2\frac{1}{2}\) to an improper fraction. The formula for converting a mixed number \(a\frac{b}{c}\) to an improper fraction is \(\frac{a\times c + b}{c}\). For \(2\frac{1}{2}\), we have \(a = 2\), \(b = 1\), \(c = 2\). So, \(2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{4 + 1}{2}=\frac{5}{2}\).

Step2: Multiply the two fractions

Now, multiply \(\frac{5}{2}\) by \(\frac{3}{4}\). When multiplying fractions, we multiply the numerators together and the denominators together. So, \(\frac{5}{2}\times\frac{3}{4}=\frac{5\times3}{2\times4}=\frac{15}{8}\).

Step3: Convert the improper fraction to a mixed number

To convert \(\frac{15}{8}\) to a mixed number, we divide the numerator by the denominator. \(15\div8 = 1\) with a remainder of \(7\) (because \(8\times1 = 8\) and \(15 - 8 = 7\)). So, \(\frac{15}{8}=1\frac{7}{8}\). The whole number part is \(1\).

Answer:

1