Question

5/9*(-3 6/7)-(-3 5/7)*3/52​

Answer 1

Ответ:

3 6/7 = 27/7

-3 5/7 = -26/7

5/9*(-3 6/7) - (-3 5/7)3/52 = 5/9(-27/7) - (-26/7)*3/52

= -15/28 - (-39/728)

= -15/28 + 39/728

= (-545 + 1170)/25408

= 625/25408

ответ: 625/25408.

Answer 2

To calculate the expression 5/9 * (-3 6/7) - (-3 5/7) * 3/52, we need to perform the following steps:

Step 1: Convert the mixed numbers to improper fractions.

• (-3 6/7) can be converted to an improper fraction as follows: -3 * 7 + 6 = -21 + 6 = -15 So, (-3 6/7) as an improper fraction is -15/7.

• (-3 5/7) can be converted to an improper fraction as follows: -3 * 7 + 5 = -21 + 5 = -16 So, (-3 5/7) as an improper fraction is -16/7.

Step 2: Perform the calculations. Now, the expression becomes: (5/9) * (-15/7) - (-16/7) * 3/52

Step 3: Simplify the expression.

First, let's simplify the fractions:

(5/9) * (-15/7) = -75/63 (-16/7) * (3/52) = (-48/364)

Now, we have:

-75/63 - (-48/364)

To subtract these fractions, we need a common denominator. The least common multiple of 63 and 364 is 5732.

So, we need to rewrite both fractions with a common denominator of 5732:

(-75/63) * (5732/5732) - (-48/364) * (5732/5732)

Now, perform the subtraction:

(-75 * 5732) / (63 * 5732) + (48 * 5732) / (364 * 5732)

Now, we can simplify further:

-429900 / 361716 - 277056 / 2089368

Now, we have a common denominator:

(-429900 - 277056) / 361716 / 2089368

Combine the numerators:

(-706956) / 2089368

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:

(-58913) / 174114

So, the simplified expression is:

-58913/174114