I have to answer the follwoing question:
Jades mother was making curtains for the dining room. She use 37 3/4 yards of fabric for the curtain panels. 13 2/7 yards of fabric for the valance. and 6ft 2in. of cord for the tiebacks. HOW many yards of fabric did she use to make the curatins and valance?
i got a ttl of 57 1/28 yards
37 3/4 = 37 21/28
+ 14 2/7 = 13 8/28
ttl: 56 29/28 = 1 1/28
= ttl: 57 1/28 yards
is this right??
sorry my answer is 51 1/28 yards
51 1/28 is correct
Your calculation is close, but there is a small error. Let's go through the steps to calculate the total yards of fabric used to make the curtains and valance correctly.
Step 1: Convert all measurements to a common unit (yards).
- 6 ft 2 in. of cord is equal to 6 and 2/36 yards. (Since there are 36 inches in a yard)
- 37 3/4 yards and 13 2/7 yards are already in yards, so no conversion is needed.
Step 2: Add up the measurements.
- 37 3/4 yards + 13 2/7 yards + 6 2/36 yards = 37 21/28 yards + 13 8/28 yards + 6 2/36 yards.
Step 3: Simplify the fractions, if possible.
- 37 21/28 yards + 13 8/28 yards + 6 2/36 yards = 37 21/28 yards + 13 8/28 yards + 6 1/18 yards.
Step 4: Add the whole numbers and fractions separately.
- 37 + 13 + 6 = 56 (whole numbers)
- 21/28 + 8/28 + 1/18 (fractions)
Step 5: Calculate the fraction sum.
- Since the denominators are not the same, you need to find a common denominator. In this case, the least common multiple (LCM) of 28 and 18 can be used, which is 252.
- Convert the fractions to have a denominator of 252.
21/28 = (21 * 9)/(28 * 9) = 189/252
8/28 = (8 * 9)/(28 * 9) = 72/252
1/18 = (1 * 14)/(18 * 14) = 14/252
Step 6: Add the fractions.
- 189/252 + 72/252 + 14/252 = 275/252
Step 7: Simplify the fraction, if needed.
- Since 275 and 252 have no common factors other than 1, the fraction is already simplified.
Therefore, the total yards of fabric used to make the curtains and valance is 56 + 275/252 yards or approximately 56.0893 yards.
Please note that you may need to round the final answer depending on the accuracy required.