Question

1)-7 1/6+(-9,375); 2)-0,75+(5 5/6); 3)-0,8+(-4 3/7); 4)-6 1/6+(-17,375).​

Answer 1

Ответ:

1)1,333 2)6,89 3)4,67 4)6.92

Answer 2

Let's solve each of these expressions step by step:

1. -7 1/6 + (-9.375) To add these two numbers, first convert the mixed number to an improper fraction: -7 1/6 = -43/6 Now, add the fractions: -43/6 + (-9.375) = -43/6 - 9.375 To combine the fractions, convert -9.375 to a fraction with a common denominator of 6: -9.375 = -9 3/8 = -75/8 Now, the expression becomes: -43/6 - 75/8 To add these fractions, find a common denominator, which is 24: -43/6 * 4/4 = -172/24 -75/8 * 3/3 = -225/24 Now, the expression becomes: -172/24 - 225/24 = -397/24 The result can be simplified to a mixed number: -397/24 = -16 13/24

2. -0.75 + (5 5/6) To add these two numbers, first convert the mixed number to an improper fraction: 5 5/6 = 35/6 Now, add the fractions: -0.75 + 35/6 To combine the fractions, convert -0.75 to a fraction with a common denominator of 6: -0.75 = -3/4 Now, the expression becomes: -3/4 + 35/6 To add these fractions, find a common denominator, which is 12: -3/4 * 3/3 = -9/12 35/6 * 2/2 = 70/12 Now, the expression becomes: -9/12 + 70/12 = 61/12 The result can be simplified to a mixed number: 61/12 = 5 1/12

3. -0.8 + (-4 3/7) To add these two numbers, first convert the mixed number to an improper fraction: -4 3/7 = -31/7 Now, add the fractions: -0.8 + (-31/7) To combine the fractions, convert -0.8 to a fraction with a common denominator of 7: -0.8 = -5 6/7 = -41/7 Now, the expression becomes: -41/7 + (-31/7) = -72/7 The result can be written as a mixed number: -72/7 = -10 2/7

4. -6 1/6 + (-17.375) To add these two numbers, first convert the mixed number to an improper fraction: -6 1/6 = -37/6 Now, add the fractions: -37/6 + (-17.375) To combine the fractions, convert -17.375 to a fraction with a denominator of 6: -17.375 = -17 3/8 = -139/8 Now, the expression becomes: -37/6 + (-139/8) To add these fractions, find a common denominator, which is 24: -37/6 * 4/4 = -148/24 -139/8 * 3/3 = -417/24 Now, the expression becomes: -148/24 + (-417/24) = -565/24 The result can be simplified to a mixed number: -565/24 = -23 17/24

So, the answers are:

1. -16 13/24
2. 5 1/12
3. -10 2/7
4. -23 17/24