Question

-6,6+4/5+(1 2/3)+3,4

Answer 1

1)-6,6+4/5=-66/10+4/5=-66/10+8/10=-58/10

2)-58/10-1 2/3=-58/10-5/3=-174/30-50/30=-224/30

3)-224/30+3,4=-224/30+34/10=-224/30+102/30=-122/30=-61/15=-4 1/15

Answer 2

To simplify the given expression, let's break it down step by step:

Step 1: Perform the addition and subtraction operations from left to right. -6 + 6 = 0

Step 2: Perform the division operation. 4/5 = 0.8

Step 3: Add the result of the division to the previous result. 0 + 0.8 = 0.8

Step 4: Convert the mixed number (1 2/3) into an improper fraction. 1 2/3 = (3 * 1 + 2)/3 = 5/3

Step 5: Add the improper fraction to the previous result. 0.8 + 5/3

To add these fractions, they need a common denominator. The least common multiple (LCM) of 3 and 3 is 3.

Step 6: Rewrite 0.8 as a fraction with a denominator of 3. 0.8 = 8/10 = 24/30

Step 7: Add the fractions. (24/30) + (5/3) = (24/30) + (50/30) = (24 + 50)/30 = 74/30

Step 8: Convert the mixed number (3,4) into an improper fraction. 3,4 = 3 + 4/10 = 3 + 2/5 = (3 * 5 + 2)/5 = 17/5

Step 9: Add the improper fraction to the previous result. 74/30 + 17/5

To add these fractions, they need a common denominator. The least common multiple (LCM) of 30 and 5 is 30.

Step 10: Rewrite 17/5 as a fraction with a denominator of 30. 17/5 = (17 * 6)/(5 * 6) = 102/30

Step 11: Add the fractions. (74/30) + (102/30) = (74 + 102)/30 = 176/30

Step 12: Simplify the fraction (if possible). 176/30 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. 176 ÷ 2 = 88, 30 ÷ 2 = 15 So, the simplified fraction is 88/15.

Therefore, the simplified result of the expression -6,6 + 4/5 + (1 2/3) + 3,4 is 88/15.