Final answer:
A tape diagram for 3/8 divided by 5/4 can be created by representing 3/8 on a tape and then multiplying it by the reciprocal of 5/4, which is 4/5, to find that 3/8 divided by 5/4 equals 3/10.
Step-by-step explanation:
To use a tape diagram for 3/8 divided by 5/4, you can represent the division of fractions as a multiplication by the reciprocal.
First, convert the division problem into a multiplication problem using the reciprocal of 5/4, which is 4/5.
Now, you have 3/8 × 4/5. You can use a tape diagram by drawing a tape and dividing it into 8 equal parts to represent the fraction 3/8, shading 3 of the 8 parts.
Then, to represent the multiplication by 4/5, you can further divide each of the 1/8 sections into 5 equal parts (since we're multiplying by 5). Shade 4 of these new parts in each 1/8 section.
To find the total shaded portion after the multiplication, count how many small units are shaded.
Another approach without a tape diagram, would be to perform the multiplication directly: (3/8) × (4/5) = (3 × 4) / (8 × 5) = 12/40, which simplifies to 3/10.
Therefore, 3/8 divided by 5/4 is equal to 3/10.