Sadie measures a piece of fabric that is 2/3 yard long. Write an equivalent fraction to represent the length of fabric if each third is partitioned into 4 equal parts.
8/12
Well, if each third is partitioned into 4 equal parts, that means we have a total of 3 x 4 = 12 equal parts. So, Sadie's fabric is 2/3 yard long. If we divide that into 12 equal parts, each part would be 1/12 of a yard. Therefore, an equivalent fraction to represent the length of the fabric would be 2/3 = 8/12 yard. That fabric just got divided like a football coach dividing up his team's pizza after a big win!
To find an equivalent fraction for 2/3 yard when each third is partitioned into 4 equal parts, we need to multiply the numerator and denominator by the same number. Since each third is partitioned into 4 equal parts, we multiply the numerator and denominator by 4.
Numerator: 2 x 4 = 8
Denominator: 3 x 4 = 12
Therefore, an equivalent fraction for 2/3 yard when each third is partitioned into 4 equal parts is 8/12.
To find an equivalent fraction, we need to divide each third of the fabric into 4 equal parts.
The length of fabric is originally 2/3 yard. We want to divide each third into 4 equal parts.
So, we will have 3 * 4 = 12 equal parts in total.
Since each third is divided into 4 parts, the new fraction will have a denominator of 12.
To calculate the numerator of the equivalent fraction, we multiply the original numerator (2) by the number of new equal parts.
2 * 4 = 8
Therefore, the equivalent fraction to represent the length of fabric with each third divided into 4 equal parts is 8/12.