Question

(1 1/2-1/4):3 3/4+2/3​

Answer 1

Ответ:

1

Пошаговое объяснение:

1) 1 1/2 - 1/4 = 1 2/4 - 1/4 = 1 1/4

2) 1 1/4 : 3 3/4 = 5/4 : 15/4 = 5/4 * 4/15 = 1/3

3) 1/3 + 2/3 = 3/3 = 1

Answer 2

To simplify the expression $\frac{1\frac{1}{2}-\frac{1}{4}}{3\frac{3}{4}+\frac{2}{3}}$, you can follow these steps:

Step 1: Simplify the numerator. $1\frac{1}{2} - \frac{1}{4} = \frac{3}{2} - \frac{1}{4}$

To subtract fractions, you need a common denominator, which is 4 in this case. So:

$\frac{3}{2} - \frac{1}{4} = \frac{6}{4} - \frac{1}{4} = \frac{6-1}{4} = \frac{5}{4}$

Step 2: Simplify the denominator. $3\frac{3}{4} + \frac{2}{3}$

To add these mixed numbers, you can first convert them to improper fractions:

$3\frac{3}{4} = \frac{4 \cdot 3 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}$

Now, for the second fraction:

$\frac{2}{3}$

Step 3: Add the fractions in the denominator.

$\frac{15}{4} + \frac{2}{3}$

To add these fractions, you need a common denominator, which is 12 in this case. So:

$\frac{15}{4} + \frac{2}{3} = \frac{15 \cdot 3}{4 \cdot 3} + \frac{2 \cdot 4}{3 \cdot 4} = \frac{45}{12} + \frac{8}{12}$

Step 4: Continue simplifying the denominator.

$\frac{45}{12} + \frac{8}{12} = \frac{45 + 8}{12} = \frac{53}{12}$

Step 5: Divide the simplified numerator by the simplified denominator.

$\frac{5}{4} \div \frac{53}{12} = \frac{5}{4} \cdot \frac{12}{53}$

Now, multiply the fractions:

$\frac{5}{4} \cdot \frac{12}{53} = \frac{5 \cdot 12}{4 \cdot 53} = \frac{60}{212} = \frac{15}{53}$

So, $\frac{1\frac{1}{2}-\frac{1}{4}}{3\frac{3}{4}+\frac{2}{3}} = \frac{15}{53}$.