Multiply.
$\frac{1}{4} \times 32=$
Answer (2)
Multiply the fraction 4 1 by 32.
Rewrite 32 as a fraction: 32 = 1 32 .
Multiply the fractions: 4 1 × 1 32 = 4 32 .
Simplify the fraction to get the final answer: 8 .
Explanation
Understanding the Problem We are asked to multiply the fraction 4 1 by the number 32. This is the same as finding one-fourth of 32.
Setting up the Multiplication To find 4 1 of 32, we can perform the multiplication: 4 1 × 32
Multiplying Fractions We can rewrite 32 as a fraction: 32 = 1 32 Now we multiply the two fractions: 4 1 × 1 32 = 4 × 1 1 × 32
Calculating Numerator and Denominator Calculate the numerator: 1 × 32 = 32 Calculate the denominator: 4 × 1 = 4 So we have the fraction: 4 32
Simplifying the Fraction Now we simplify the fraction 4 32 by dividing both the numerator and the denominator by their greatest common divisor, which is 4.Divide the numerator by 4: 32 ÷ 4 = 8 Divide the denominator by 4: 4 ÷ 4 = 1 The simplified fraction is 1 8 , which is equal to 8.
Final Answer Therefore, the result of the multiplication is 8.
Examples
Imagine you have a pizza that is cut into 4 equal slices, and you eat one of those slices. That means you ate 4 1 of the pizza. If the pizza originally had 320 calories, then the slice you ate contained 4 1 × 320 = 80 calories. This is a simple example of how fractions are used in everyday life to calculate portions or shares of a whole.
To find 4 1 × 32 , we rewrite 32 as 1 32 and multiply. This gives us 4 32 , which simplifies to 8. Therefore, 4 1 × 32 = 8 .
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