Using the butterfly method, which fraction is less 1/4 or 1/3 - I know the answer but using the butterfly method the answer does not work out? Am I doing something improper? Thanks!
The butterfly method, also known as the cross-multiplication method, is commonly used to compare the magnitudes of fractions. Let's go through the butterfly method step by step to compare 1/4 and 1/3.
Step 1: Write down the two fractions you want to compare. In this case, 1/4 and 1/3.
Step 2: Draw a butterfly shape or cross shape, with empty spaces in the middle for calculations.
1/4 < > 1/3
Step 3: Multiply the denominators of the two fractions (4 and 3) and place the product in the empty spaces of the butterfly.
1/4 <6> 1/3
Step 4: Cross-multiply the numerators of the fractions and place the results in the opposite empty spaces.
1/4 <6> 1/3
3 4
Step 5: Now, compare the two numbers you obtained. In this case, 4 and 3.
Since 4 is greater than 3, the fraction 1/4 is greater than 1/3. Therefore, it contradicts the known fact that 1/3 is less than 1/4.
If the butterfly method is not giving you the correct result, it may indicate a mistake in the calculations or in the order of the fractions. I would recommend double-checking the steps and calculations to ensure accuracy.