Question

4 5/9+(-3 7/15)-(-2 3/5)=помогитиии

Answer 1

На фото
.........
извиняюсь за страшный почерк .-.

Answer 2

Sure, I'd be happy to help you with this arithmetic problem. Let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions. To add and subtract fractions, it's easier to work with improper fractions. Here are the conversions:

4 5/9 = (4 * 9 + 5) / 9 = 41 / 9 (-3 7/15) = (-3 * 15 + 7) / 15 = (-45 + 7) / 15 = -38 / 15 (-2 3/5) = (-2 * 5 + 3) / 5 = (-10 + 3) / 5 = -7 / 5

Step 2: Perform the addition and subtraction operations: Now the expression becomes: 41/9 + (-38/15) - (-7/5)

Step 3: Perform addition and subtraction separately:

Add the fractions first: 41/9 + (-38/15)

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator for 9 and 15 is 9 * 15 = 135.

Converting both fractions to have a denominator of 135:

(41/9) * (15/15) = 615/135 (-38/15) * (9/9) = -342/135

Now, add the fractions together:

615/135 + (-342/135) = (615 - 342) / 135 = 273 / 135

Step 4: Subtract the remaining fraction:

273/135 - (-7/5)

To subtract a fraction, we change the sign of the second fraction and then perform addition:

273/135 + 7/5

Now, find the common denominator, which is 135 * 5 = 675.

Converting both fractions to have a denominator of 675:

(273/135) * (5/5) = 1365/675 (7/5) * (135/135) = 945/675

Now, subtract the fractions:

1365/675 - 945/675 = (1365 - 945) / 675 = 420 / 675

Step 5: Simplify the fraction, if possible:

To simplify the fraction 420/675, we can find the greatest common divisor (GCD) and divide the numerator and denominator by it. In this case, the GCD of 420 and 675 is 15.

420 ÷ 15 = 28 675 ÷ 15 = 45

So, the simplified fraction is 28/45.

Therefore, the result of the expression is:

4 5/9 + (-3 7/15) - (-2 3/5) = 28/45