
- 1 3/4:(-4 3/8)= Помогите прошу!!!!


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Calculation of 1 3/4 divided by (-4 + 3/8)
To calculate the expression 1 3/4 divided by (-4 + 3/8), we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Let's break down the calculation step by step:
1. Simplify the expression inside the parentheses: (-4 + 3/8) - To add -4 and 3/8, we need to find a common denominator. The common denominator for 8 and 1 is 8. - -4 can be written as -32/8 (multiplying the numerator and denominator by 8). - Now we can add -32/8 and 3/8, which gives us -29/8.
2. Rewrite the expression with the simplified value: 1 3/4 divided by -29/8.
3. Convert the mixed number 1 3/4 to an improper fraction: - Multiply the whole number (1) by the denominator (4) and add the numerator (3). This gives us 7. - The denominator remains the same, so the improper fraction is 7/4.
4. Divide the improper fraction (7/4) by the fraction (-29/8): - To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - The reciprocal of -29/8 is -8/29. - Multiplying 7/4 by -8/29 gives us (-56/116).
5. Simplify the resulting fraction (-56/116): - To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). - The GCD of 56 and 116 is 4. - Dividing both the numerator and denominator by 4 gives us -14/29.
Therefore, the result of the expression 1 3/4 divided by (-4 + 3/8) is -14/29.
Please let me know if you have any further questions!


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