Multiplying Fractions Less Than One

The product is $\frac{1}{15}$, because $1 \times 1$ is $1$, and $3 \times 5$ is $15$.

When you multiply $\frac{1}{4}$ by $\frac{1}{6}$, the result is $\frac{1}{24}$, because $1 \times 1$ is $1$ and $4 \times 6$ is $24$.

$\frac{3}{4} \times \frac{2}{7} = \frac{3 \times 2}{4 \times 7} = \frac{6}{28} = \frac{3}{14}$

$\frac{5}{8} \times \frac{1}{6} = \frac{5 \times 1}{8 \times 6} = \frac{5}{48}$

$\frac{1}{9} \times \frac{4}{5} = \frac{1 \times 4}{9 \times 5} = \frac{4}{45}$

$\frac{7}{10} \times \frac{2}{3} = \frac{7 \times 2}{10 \times 3} = \frac{14}{30} = \frac{7}{15}$

Multiply $\frac{3}{4}$ by $\frac{1}{2}$ to get $\frac{3}{8}$ cups of oil for half the cake recipe.

Multiply $\frac{2}{3}$ by $\frac{1}{3}$ to find out you need $\frac{2}{9}$ cup of yoghurt.

Multiply $\frac{5}{6}$ by 2 to get $\frac{10}{6}$, which simplifies to $\frac{5}{3}$ cups of cream.

Multiply $\frac{3}{5}$ by $\frac{1}{4}$ to calculate that you'll need $\frac{3}{20}$ of a block of cheese.

Multiply $\frac{1}{2}$ by $\frac{1}{3}$ to find that you need $\frac{1}{6}$ cup of milk.

Multiplying fractions less than 1 means combining parts of two wholes to produce a part of a new whole that is smaller than each original part.

When you multiply two fractions less than 1, you're combining portions of two wholes, which results in a portion of a whole that's even smaller than the original parts.

To simplify a fraction, divide the numerator and the denominator by their greatest common factor to find the smallest equivalent fraction.

Yes, if at least one of the fractions has a numerator larger than the denominator, the product can be greater than 1.

The first step is to multiply the numerators together, then multiply the denominators together.

No, common denominators are not needed when multiplying fractions, unlike when adding or subtracting them.

Yes, you can simplify the multiplication process by cancelling out any common factors between the numerators and denominators before multiplying.

Yes, but you must first convert mixed numbers to improper fractions before multiplying.

We can check our work by using a calculator or by cross-multiplying with the inverse operation, division, to ensure the original fractions are obtained.

Understanding how to multiply fractions less than 1 is important for many real-life applications, including cooking, crafting, and dividing resources evenly.