Question

5/16*4/7-21/31:(-9/4)=​

Answer 1

Ответ:

0,47964669738

Пошаговое объяснение:

Answer 2

=5/4•1/7+21/31•4/9=5/28+7/31•4/3=5/28+28/93=1249/2604

Answer 3

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Here's the step-by-step solution:

1. Start with the division operation inside the parentheses:
   • 21/31 ÷ (-9/4)

To divide by a fraction, you can multiply by its reciprocal (flipping it upside down):

• 21/31 ÷ (-9/4) = 21/31 * (-4/9)

2. Now, multiply the fractions:

   • (21 * -4) / (31 * 9) = -84 / 279

3. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3:

   • (-84 ÷ 3) / (279 ÷ 3) = -28 / 93

Now that we've simplified the division inside the parentheses, we can proceed with the rest of the expression:

4. Next, perform the multiplications:

   • (5/16) * (4/7) = (5 * 4) / (16 * 7) = 20 / 112

5. Simplify the fraction by finding the GCD of the numerator and denominator, which is 4:

   • (20 ÷ 4) / (112 ÷ 4) = 5 / 28

Now, we can put it all together:

• (5/16) * (4/7) - (-28/93) = 5/28 - (-28/93)

To subtract a negative fraction, you can change it to addition:

• 5/28 + 28/93

Now, you need to find a common denominator, which is 186. Adjust the fractions accordingly:

• (5/28) * (93/93) + (28/93) * (28/28) = 465/186 + 784/186

Now, you can add the fractions:

• (465 + 784) / 186 = 1249 / 186

Finally, simplify the fraction by finding the GCD of the numerator and denominator, which is 31:

• (1249 ÷ 31) / (186 ÷ 31) = 41/6

So, the final result of the expression is 41/6.