Question

(-8 4/7)-(-6 3/5)-(-9 2/5)+(-1,16)-(+6 3/7) Дроби

Answer 1

Ответ:

-4/25

Объяснение:

-60/7+6 3/5+9 2/5-1,16-45/7

-60/7+33/5+2+47/5-1,16-45/7

-60/7+33/5+47/5-29/25-45/7

-4/25 или 0,16

Answer 2

To solve this arithmetic expression involving mixed numbers and fractions, let's break it down step by step:

Step 1: Convert the mixed numbers to improper fractions: -8 4/7 = -(7 * 8 + 4)/7 = -60/7 -6 3/5 = -(5 * 6 + 3)/5 = -33/5 -9 2/5 = -(5 * 9 + 2)/5 = -47/5 -1,16 = -1 - 16/100 = -1 - 4/25 = -29/25 +6 3/7 = (7 * 6 + 3)/7 = 45/7

Step 2: Perform the subtraction operation on the fractions: -60/7 - (-33/5) - (-47/5) + (-29/25) - (45/7)

Step 3: Find a common denominator for all the fractions involved, which is 7 * 5 * 25 = 875:

((-60/7) * (125/125)) - ((-33/5) * (175/175)) - ((-47/5) * (175/175)) + ((-29/25) * (35/35)) - ((45/7) * (125/125))

Step 4: Simplify the expression by multiplying the numerators and denominators:

= (-7500/875) - (-5775/875) - (-8225/875) + (-1015/875) - (5625/875)

Step 5: Combine the fractions:

= (-7500 + 5775 + 8225 - 1015 - 5625)/875

Step 6: Perform the addition and subtraction operations on the numerators:

= (-12,140)/875

Step 7: Simplify the fraction, if possible. In this case, the fraction is already in its simplest form.

Therefore, the final result is: -12,140/875