Question

even number | odd number
\\(\frac{2}{3} \times 6\\)
\\(\frac{4}{7} \times 7\\)
\\(\frac{3}{5} \times 15\\)
\\(\frac{5}{6} \times 12\\)

Explanation:

Evaluate the first expression

Using the Multiplying Fractions knowledge point:

$$ \frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4 $$

Since \(4\) is divisible by \(2\), it is an even number.

Evaluate the second expression

Using the Multiplying Fractions knowledge point:

$$ \frac{4}{7} \times 7 = \frac{4 \times 7}{7} = 4 $$

Since \(4\) is divisible by \(2\), it is an even number.

Evaluate the third expression

Using the Multiplying Fractions knowledge point:

$$ \frac{3}{5} \times 15 = \frac{3 \times 15}{5} = 3 \times 3 = 9 $$

Since \(9\) is not divisible by \(2\), it is an odd number.

Evaluate the fourth expression

Using the Multiplying Fractions knowledge point:

$$ \frac{5}{6} \times 12 = \frac{5 \times 12}{6} = 5 \times 2 = 10 $$

Since \(10\) is divisible by \(2\), it is an even number.

Answer:

Expression	Even Number	Odd Number
\(\frac{4}{7} \times 7\)	[Selected]	[ ]
\(\frac{3}{5} \times 15\)	[ ]	[Selected]
\(\frac{5}{6} \times 12\)	[Selected]	[ ]