Explain why 1/8 is greater than 1/10, but less than 1/3.
Because 1/8’ths denominator is less than 1/10 and more than 1/3
Convert these fractions to equivalent fractions with the same denominator.
http://www.mathsisfun.com/equivalent_fractions.html
To compare fractions, we need to find a common denominator. The lowest common denominator for 1/8, 1/10, and 1/3 is 120.
1/8 = 15/120 (because 15 x 8 = 120)
1/10 = 12/120 (because 12 x 10 = 120)
1/3 = 40/120 (because 40 x 3 = 120)
Now, we can see that 15/120 is greater than 12/120 but less than 40/120.
Therefore, 1/8 is greater than 1/10 but less than 1/3.
To understand why 1/8 is greater than 1/10 but less than 1/3, we need to compare their decimal representations.
To find the decimal equivalent of a fraction, divide the numerator (top number) by the denominator (bottom number).
For the fraction 1/8, dividing 1 by 8 yields 0.125. Rounded to three decimal places, it is 0.125.
For the fraction 1/10, dividing 1 by 10 results in 0.1, which is the exact decimal representation.
Lastly, for the fraction 1/3, dividing 1 by 3 gives us the decimal 0.333... (it is a repeating decimal, but we can round it to 0.333 for simplicity).
Now, let's compare the decimals.
0.1 is smaller than 0.125, so 1/10 is less than 1/8.
However, 0.1 is larger than 0.0333, so 1/10 is greater than 1/3.
Therefore, we can conclude that 1/8 is greater than 1/10 and less than 1/3.