Question

Hans made a shirt using (1)/(4) meters of yellow fabric and (3)/(5) meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.

Answer 1

Hans used ¼ meters of yellow fabric and ⅓ meters of red fabric. After converting both fractions to have a common denominator of 20, the total fabric used is the sum of the two fractions, which is 17/20 meters.

Step-by-step explanation:

The student is asking how to add two fractions of fabric measured in meters together and simplify the result. Hans used ¼ meters of yellow fabric and ⅓ meters of red fabric. To find the total fabric used, we must add the two fractions together:

¼ + ⅓

First, we need a common denominator, which for 4 and 5 is 20. Therefore, we convert each fraction:

¼ = 5/20 (because 1×4=5)

⅓ = 12/20 (because 3×5=15)

Now we add the two fractions:

5/20 + 12/20 = 17/20

So, Hans used 17/20 meters of fabric in total. This is already in its simplest form.