Olivia made 14 outfits for her dolls. Each outfit used 3/5 of fabric. If she started with 10 3/4 yards of fabric, how much did she have left after making all the outfits

Answer:0.1 yards of fabricStep-by-step explanation:Data provided in the question: Number of outfits made for the doll = 14Fabric used in each outfit = [tex]\frac{3}{5}[/tex] yards of fabricStarting fabric available = 10 × [tex]\frac{3}{4}[/tex] or [tex]\frac{30}{4}[/tex] yardsNow,The total fabric used in making the outfits of 14 dolls = 14 × [tex]\frac{3}{5}[/tex] yards of fabric= [tex]\frac{42}{5}[/tex] yards of fabricTherefore, The fabric left after making the outfits = Fabric available in the start - Fabric used  in making the outfits= [tex]\frac{30}{4}[/tex] yards - [tex]\frac{42}{5}[/tex] yards= [tex]\frac{30\times5-42\times4}{4\times5}[/tex] yards=  [tex]\frac{150-168}{20}[/tex] yards= [tex]\frac{2}{20}[/tex] yards= 0.1 yards of fabric