Question

1) 8 9/10-4 5/6=?2) 23/28-9/14=?3) 5/28+3/7=?​

Answer 1

Ответ:

4 1/15, 5/28, 17/28

Пошаговое объяснение:

Answer 2

Let's solve these three arithmetic problems step by step:

1. $8 \frac{9}{10} - 4 \frac{5}{6}$:

To subtract mixed numbers, first subtract the whole numbers and then subtract the fractions.

Whole Numbers: $8 - 4 = 4$.

Fractions: $\frac{9}{10} - \frac{5}{6}$:

To subtract these fractions, you need to find a common denominator. In this case, the least common denominator is 30, so you need to make both fractions have a denominator of 30.

$\frac{9}{10} \times \frac{3}{3} = \frac{27}{30}$

$\frac{5}{6} \times \frac{5}{5} = \frac{25}{30}$

Now, subtract the fractions:

$\frac{27}{30} - \frac{25}{30} = \frac{2}{30} = \frac{1}{15}$

So, $8 \frac{9}{10} - 4 \frac{5}{6} = 4 \frac{1}{15}$.

2. $\frac{23}{28} - \frac{9}{14}$:

Again, you need to find a common denominator, which in this case is 28.

$\frac{23}{28} - \frac{9}{14}$:

To make the denominators equal, you can see that $28$ is twice $14$, so you can multiply the numerator and denominator of $\frac{9}{14}$ by $2$:

$\frac{23}{28} - \frac{9 \times 2}{14 \times 2} = \frac{23}{28} - \frac{18}{28}$

Now that they have the same denominator, you can subtract the fractions:

$\frac{23}{28} - \frac{18}{28} = \frac{23 - 18}{28} = \frac{5}{28}$

So, $\frac{23}{28} - \frac{9}{14} = \frac{5}{28}$.

3. $\frac{5}{28} + \frac{3}{7}$:

To add these fractions, first, find a common denominator, which in this case is 28.

$\frac{5}{28} + \frac{3}{7}$:

To make the denominators equal, you can see that $28$ is four times $7$, so you can multiply the numerator and denominator of $\frac{3}{7}$ by $4$:

$\frac{5}{28} + \frac{3 \times 4}{7 \times 4} = \frac{5}{28} + \frac{12}{28}$

Now that they have the same denominator, you can add the fractions:

$\frac{5}{28} + \frac{12}{28} = \frac{5 + 12}{28} = \frac{17}{28}$