25:5*98+75+98:86*7
To solve the expression \( 25:5 \times 98 + 75 + 98:86 \times 7 \), we'll follow the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
First, we perform the divisions:
- \( 25:5 = 5 \)
- \( 98:86 = \frac{98}{86} \)
Next, let's calculate \( \frac{98}{86} \) which simplifies to \( \frac{49}{43} \) (as both the numerator and denominator can be divided by 2).
Now substitute back into the expression: \[ 5 \times 98 + 75 + \frac{49}{43} \times 7 \]
Calculate \( 5 \times 98 = 490 \).
Now, handle \( \frac{49}{43} \times 7 \): \[ \frac{49 \times 7}{43} = \frac{343}{43} \]
Now we can express the full equation: \[ 490 + 75 + \frac{343}{43} \]
Combine \( 490 + 75 = 565 \).
Now add \( 565 + \frac{343}{43} \). To add that, convert \( 565 \) to a fraction: \[ 565 = \frac{565 \times 43}{43} = \frac{24395}{43} \]
Then, combine: \[ \frac{24395}{43} + \frac{343}{43} = \frac{24395 + 343}{43} = \frac{24738}{43} \]
Finally, simplify \( \frac{24738}{43} \): \[ 24738 \div 43 = 575.5 \]
So the result of the expression \( 25:5 \times 98 + 75 + 98:86 \times 7 \) is approximately \( 575.5 \).
