The three different improper fractions of 4 1/2 are 9/2, 18/4, and 36/8.
To express the mixed number 4 1/2 as three different improper fractions, we need to convert it to an improper fraction first. A mixed number consists of a whole number part and a fraction part.
Converting 4 1/2 to an improper fraction:
We multiply the whole number (4) by the denominator of the fraction (2) and add the numerator (1) to get the new numerator. The denominator remains the same.
Improper fraction: (4 x 2 + 1) / 2 = 9/2
Now, we can represent 4 1/2 as three different improper fractions:
9/2 - The original improper fraction we calculated.
18/4 - We multiplied both the numerator and denominator by 2 to get an equivalent fraction.
36/8 - We further multiplied both the numerator and denominator by 2 again to get another equivalent fraction.
All three improper fractions are different representations of the mixed number 4 1/2. They have the same value but are written with different numerators and denominators.
To learn more about the improper fraction;
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