[tex]\frac{7}{9} \times \frac{4}{28}[/tex]
Answer (2)
Simplify the fraction 28 4 to 7 1 .
Multiply the fractions: 9 7 × 7 1 = 63 7 .
Simplify the resulting fraction 63 7 to 9 1 .
The final answer is 9 1 .
Explanation
Understanding the Problem We are given the expression 9 7 × 28 4 . Our goal is to simplify this expression and find the result.
Simplifying the Fraction First, we can simplify the fraction 28 4 by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This gives us: 28 4 = 28 ÷ 4 4 ÷ 4 = 7 1 So, our expression becomes: 9 7 × 7 1
Multiplying the Fractions Now, we multiply the numerators and the denominators: 9 7 × 7 1 = 9 × 7 7 × 1 = 63 7
Simplifying the Result Finally, we simplify the resulting fraction 63 7 by dividing both the numerator and the denominator by their greatest common divisor, which is 7. This gives us: 63 7 = 63 ÷ 7 7 ÷ 7 = 9 1 Therefore, the simplified expression is 9 1 .
Final Answer The result of the calculation is 9 1 .
Examples
Fractions are used in everyday life, such as when cooking, measuring ingredients, or splitting a bill with friends. For example, if you have a pizza that is cut into 9 slices and you eat 1 slice, you have eaten 9 1 of the pizza. Understanding how to multiply and simplify fractions helps us to solve these real-world problems more easily.
The result of multiplying 9 7 by 28 4 is 9 1 after simplifying 28 4 to 7 1 and 63 7 to 9 1 .
;
