Question

-7.65 + (-5 31/40 + 4.76)​

Answer 1

Ответ:

Пошаговое объяснение:

-7.65+4.76=-2.89

-2.89+(-5 31\40)=-2 89\100-5 31\40=-2 178\200-5 155\200=-7 333\200=-8 133\200

Answer 2

To simplify the expression, let's first convert the mixed number to a fraction:

-5 31/40 = -5 + 31/40

To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 40.

-5 + 31/40 = -5 * 40/40 + 31/40 = -200/40 + 31/40 = (-200 + 31)/40 = -169/40

Now we can substitute the value back into the original expression:

-7.65 + (-5 31/40 + 4.76)​ = -7.65 + (-169/40 + 4.76)

To add fractions, we need a common denominator. The common denominator for 40 and 1 is 40. Let's convert 4.76 to a fraction with a denominator of 40:

4.76 = 4 + 0.76 = 4 + 76/100 = 4 + 19/25 (converting 76/100 to a fraction with a denominator of 25)

Now we can add the fractions:

-7.65 + (-169/40 + 4 + 19/25)

Next, let's convert the mixed number 4 to a fraction with a denominator of 25:

4 = 4/1 * 25/25 = 100/25

Now we can add the fractions:

-7.65 + (-169/40 + 100/25 + 19/25)

To add fractions, we need a common denominator. The common denominator for 40 and 25 is 1000.

-7.65 + (-169/40 + 400/1000 + 380/1000)

Next, let's convert -7.65 to a fraction with a denominator of 1000:

-7.65 = -7 * 1000/1000 - 65/1000 = -7000/1000 - 65/1000

Now we can add the fractions:

-7000/1000 - 65/1000 + (-169/40 + 400/1000 + 380/1000)

Combining like terms, we get:

= (-7000 - 65)/1000 + (-169 + 400 + 380)/1000

= -7065/1000 + 611/1000

Finally, combining the fractions:

= (-7065 + 611)/1000

= -6454/1000

Simplifying the fraction, we get:

= -6.454