The situation that can be represented by the equation 6 ÷ ¼ = is Sadie has 6 yards of fabric. She cuts the fabric into pieces 1/4 of a yard long. How many pieces of fabric does Sadie have now? The correct option is the first option.
The Breakdown
In this situation, we are dividing the total length of fabric (6 yards) by the length of each piece (1/4 of a yard) to find the number of pieces Sadie has. Dividing by a fraction is equivalent to multiplying by its reciprocal. So, 6 ÷ ¼ is the same as 6 ×4/1 which simplifies to 6 times 4 = 24.
Therefore, Sadie has 24 pieces of fabric after cutting the 6 yards of fabric into pieces that are 1/4 of a yard long.