Multiplication of integers by a fraction and a mixed number - Examples, Exercises and Solutions

$4.1\cdot1.6\cdot3.2+4.7=\text{?}$

We convert decimal numbers into mixed fractions:

$4\frac{1}{10}\times1\frac{6}{10}\times3\frac{2}{10}+4\frac{7}{10}=$

Now, we convert mixed fractions into simple fractions:

$\frac{41}{10}\times\frac{16}{10}\times\frac{32}{10}+\frac{47}{10}=$

We solve the exercise from left to right:

$\frac{41\times16}{10\times10}=\frac{656}{100}$

Now we get the exercise:

$\frac{656}{100}\times\frac{32}{10}+\frac{47}{10}=$

We solve the multiplication exercise:

$\frac{656\times32}{100\times10}=\frac{20,992}{1,000}$

Now we get the exercise:

$\frac{20,992}{1,000}+\frac{47}{10}=$

We multiply the fraction on the right so that its denominator is also 1000:

$\frac{47\times100}{10\times100}=\frac{4,700}{1,000}$

We get the exercise:

$\frac{20,992}{1,000}+\frac{4,700}{1,000}=\frac{20,992+4,700}{1,000}=\frac{25,692}{1,000}$

We convert the simple fraction into a decimal number:

$\frac{25,692}{1,000}=25.692$

25.692

$2\times\frac{5}{7}=$

$1\frac{3}{7}$

$3\times\frac{1}{2}=$

$1\frac{1}{2}$

$4\times\frac{2}{3}=$

$2\frac{2}{3}$

$6\times\frac{3}{4}=$

$4\frac{1}{2}$

$7\times\frac{2}{5}=$

$2\frac{4}{5}$

$3\times\frac{6}{7}=$

$2\frac{4}{7}$

Solve:

$7\times\frac{3}{8}=$

$2\frac{5}{8}$

$8\times\frac{1}{2}=$

$4$

$3\times\frac{8}{12}=$

$2$

$8\times\frac{5}{9}=$

$4\frac{4}{9}$

$3\times1\frac{1}{2}=$

$4\frac{1}{2}$

$3\times1\frac{1}{3}=$

$4$

$2\times2\frac{1}{3}=$

$4\frac{2}{3}$

$4\times1\frac{1}{5}=$

$4\frac{4}{5}$