Question

4/7×(-5 5/6)-5/62×(-4 3/7)=

Answer 1

1) 4/7 * (- 5 5/6) = 4/7 * (- 35/6) = - 10/3 = - 3 1/3

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

P - Parentheses/Brackets E - Exponents/Orders MD - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

The given expression is:

4/7 × (-5 5/6) - 5/62 × (-4 3/7)

First, we need to convert the mixed numbers into improper fractions:

-5 5/6 = - (5 × 6 + 5) / 6 = - (30 + 5) / 6 = -35 / 6 -4 3/7 = - (4 × 7 + 3) / 7 = - (28 + 3) / 7 = -31 / 7

Now, substitute these values into the expression:

4/7 × (-35/6) - 5/62 × (-31/7)

Next, perform the multiplication:

= (4/7) × (-35/6) - (5/62) × (-31/7) = -140/42 - (-155/434)

Now, find a common denominator for the fractions:

The least common multiple of 42 and 434 is 8682.

Convert both fractions to have a denominator of 8682:

= - (140 × 206 / 42 × 206) - (-155 × 122 / 434 × 122) = - (28840 / 8682) - (-18910 / 8682)

Now, we can simplify the expression:

= (-28840 + 18910) / 8682 = -9930 / 8682

Finally, if possible, simplify the fraction further:

= -1655 / 1439

So, the result of the expression is approximately -1.1509 (rounded to four decimal places).