Question

help me solve 1 2/5 x 3/4

Answer 1

is the x a variable or does it mean multiplication?

Answer 2

\[\left(1 + \frac{2}{5}\right) \times \frac{3}{4}\]

Use distributive rule:

\[1 \times\frac{3}{4} + \frac{2}{5} \times \frac{3}{4}\]

Answer 3

Reduce as necessary:

\[\frac{3}{4} + \frac{1}{5} \times \frac{3}{2}\]
\[\frac{3}{4} + \frac{3}{10}\]

Find common denominator:
\[4 \times 10 = 40\]

Multiply fractions by factor of 1 so that you can combine fractions:

\[\frac{3}{4} \times \frac{10}{10} + \frac{3}{10} \times \frac{4}{4}\]
\[\frac{30}{40} + \frac{12}{40}\]
\[\frac{42}{40}\]

The fraction is improper, so re-write as such:
\[\frac{40 + 2}{40}\]
\[\frac{40}{40} + \frac{2}{40}\]

Finally re-write as a whole number plus a fraction:

\[1 + \frac{1}{20}\]