Question

Ms. Frank made some costumes. The table shows the fabric she used. Color of Fabric Blue Gold Red Amount of Fabric (in yards) Part A Did she use more blue fabric or red fabric? Use a number line and words to prove your answer. Part B. Compare the amount of gold fabric to the amount of red fabric. Use >,

Answer 1

The blue fabrics used by Frank is 5/8.

The red fabrics used by Frank is 3/8.

PART A:

Plot the fraction 3/8 and 5/8 on the number line.

From the number line it can be observed that 5/8 lies after 3/8. So 5/8 is more than 3/8 means that blue fabric is used more as compare to red fabrics.

PART B:

Multiply the numerator and denominator fraction of 3/4 by 2 to obtain equivalent fraction.

$\frac{3}{4}\cdot\frac{2}{2}=\frac{6}{8}$

The numerator of fraction 6/8 is 6 and numerator of fraction 3/8 is 3. So fraction 6/8 represent the large value as compare to fraction 3/8.

$\frac{3}{4}>\frac{3}{8}$

Thus amount of gold fabric is used more as compare to red fabrics.