There are 37/4 yards of material left from the original piece, which is equivalent to 9 1/4 yards.
The storekeeper sold 9 1/4 yards from a piece of material that originally contained 53 yards.
To find out how much material is left, subtract the amount sold from the original length:
![\[ 53 - 9 (1)/(4) \]](https://img.qammunity.org/2024/formulas/mathematics/college/wfg6sm2qa8xf6uk9upc5cqq47z2uqva82u.png)
To perform this subtraction, convert the mixed number (9 1/4) to an improper fraction. The result is:
![\[ 53 - (37)/(4) \]](https://img.qammunity.org/2024/formulas/mathematics/college/aovddb5m67hxuwnzxb7nm1iev3cvaszh11.png)
To subtract, find a common denominator, which in this case is 4:
![\[ (212)/(4) - (37)/(4) \]](https://img.qammunity.org/2024/formulas/mathematics/college/3ihzratfdjmx330qvzgvnal3byrj23fakc.png)
Combine the numerators and keep the denominator:
![\[ (175)/(4) \]\\](https://img.qammunity.org/2024/formulas/mathematics/college/8ysnrdzg0sml5wlcup3wp4ozjeiqqz1chk.png)
Now, simplify the fraction:
![\[ 53 - (175)/(4) \]](https://img.qammunity.org/2024/formulas/mathematics/college/28mzn7kgtpgq5khllefdjkyxi49wt977xb.png)
To simplify further, find a common denominator of 4:
![\[ (212 - 175)/(4) \]\\](https://img.qammunity.org/2024/formulas/mathematics/college/r3tvviyzlgyryphwtv81w057n7xx704dca.png)
![\[ (37)/(4) \]](https://img.qammunity.org/2024/formulas/mathematics/college/4g270f2j461afimd4ao48jv03jhclob50i.png)
Therefore, there are 37/4 yards of material left from the original piece, which is equivalent to 9 1/4 yards.
The probable question may be:
The storekeeper sold 9 (1) (4) yards from a piece of material containing 53 yards. How much was left in the original piece?