Question

3 1/8×2/3 . -1 3/8× (-3/7)

Answer 1

Відповідь: 25/8*2/3=50/24=25/12=2 1/12

11/8*3/7=33/56

Покрокове пояснення:

Answer 2

Let's solve these two multiplication problems step by step:

1. $3 \frac{1}{8} \times \frac{2}{3}$

First, convert the mixed number $3 \frac{1}{8}$ into an improper fraction:

$3 \frac{1}{8} = \frac{3 \times 8 + 1}{8} = \frac{24 + 1}{8} = \frac{25}{8}$

Now, multiply the fractions:

$\frac{25}{8} \times \frac{2}{3} = \frac{25 \times 2}{8 \times 3} = \frac{50}{24}$

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

$\frac{50}{24} = \frac{25}{12}$

So, $3 \frac{1}{8} \times \frac{2}{3} = \frac{25}{12}$.

2. $-1 \frac{3}{8} \times \left(-\frac{3}{7}\right)$

First, convert the mixed number $-1 \frac{3}{8}$ into an improper fraction:

$-1 \frac{3}{8} = -\frac{8 \times 1 + 3}{8} = -\frac{11}{8}$

Now, multiply the fractions:

$-\frac{11}{8} \times -\frac{3}{7} = \frac{11 \times 3}{8 \times 7} = \frac{33}{56}$

So, $-1 \frac{3}{8} \times \left(-\frac{3}{7}\right) = \frac{33}{56}$.

If you'd like, you can further simplify the fractions, but both results are already in their simplest form.