Pergunta
er in each box Use numerals instead of words. If necessary use / for the fraction bar( te your answer as a mixed number in simplest form. 3(1)/(4)times 1(1)/(6)=
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GracielaProfissional · Tutor por 6 anos
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To solve the multiplication of mixed numbers, we first convert them to improper fractions.<br /><br />For $3\frac {1}{4}$:<br />\[3\frac {1}{4} = \frac{3 \times 4 + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4}\]<br /><br />For $1\frac {1}{6}$:<br />\[1\frac {1}{6} = \frac{1 \times 6 + 1}{6} = \frac{6 + 1}{6} = \frac{7}{6}\]<br /><br />Now, multiply the two improper fractions:<br />\[\frac{13}{4} \times \frac{7}{6} = \frac{13 \times 7}{4 \times 6} = \frac{91}{24}\]<br /><br />Convert the improper fraction back to a mixed number:<br />\[\frac{91}{24} = 3\frac{23}{24}\]<br /><br />So, $3\frac {1}{4}\times 1\frac {1}{6} = 3\frac{23}{24}$
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