Question

(9/20 - 7/8) :(-7/45 - 2/9)​

Answer 1

Ответ:

9/8

Пошаговое объяснение:

удачи написати завдання

Answer 2

To simplify the given expression, let's perform the calculations step by step.

First, let's simplify the expression within the parentheses:

(9/20 - 7/8) : (-7/45 - 2/9)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 20 and 8 is 40. Therefore, we can rewrite the expression as:

((9/20)(5/5) - (7/8)(5/5)) : (-7/45 - 2/9)

This simplifies to:

(45/100 - 35/40) : (-7/45 - 10/45)

Now, let's simplify the expression further:

(45/100 - 35/40) : (-7/45 - 10/45)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 100 and 40 is 200. Therefore, we can rewrite the expression as:

((45/100)(2/2) - (35/40)(5/5)) : ((-7/45)(5/5) - (10/45)(5/5))

This simplifies to:

(90/200 - 175/200) : (-35/225 - 50/225)

Next, let's simplify the expression even further:

(90/200 - 175/200) : (-35/225 - 50/225)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 200 and 225 is 900. Therefore, we can rewrite the expression as:

((90/200)(9/9) - (175/200)(9/9)) : ((-35/225)(4/4) - (50/225)(4/4))

This simplifies to:

(810/1800 - 1575/1800) : (-140/900 - 200/900)

Now, let's simplify the expression further:

(810/1800 - 1575/1800) : (-140/900 - 200/900)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 1800 and 900 is 1800. Therefore, we can rewrite the expression as:

((810/1800)(1/1) - (1575/1800)(1/1)) : ((-140/900)(2/2) - (200/900)(2/2))

This simplifies to:

(810/1800 - 1575/1800) : (-280/1800 - 400/1800)

Now, let's simplify the expression further:

(810/1800 - 1575/1800) : (-280/1800 - 400/1800)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 1800 is itself. Therefore, we can rewrite the expression as:

(810/1800 - 1575/1800) : (-280/1800 - 400/1800)

This simplifies to:

(-765/1800) : (-680/1800)

Now, let's divide the fractions:

(-765/1800) : (-680/1800)

When dividing fractions, we can simplify by multiplying the first fraction by the reciprocal of the second fraction:

(-765/1800) * (1800/-680)

The numerator and denominator have a common factor of 1800, so we can simplify further:

(-765/1800) * (1/-680)

Now, we can multiply the fractions:

(-765 * 1