Answer:
D. 32[tex]\frac{6}{20}[/tex]
Step-by-step explanation:
Change 4[tex]\frac{3}{4}[/tex] and 6[tex]\frac{4}{5}[/tex] into top heavy fractions: to do this, multiply the whole number by the denominator (bottom of fraction) and add it to the nominator (top of fraction).
4[tex]\frac{3}{4}[/tex] = [tex]\frac{(4x 4)+3}{4}[/tex]=[tex]\frac{19}{4}[/tex]
6[tex]\frac{4}{5}[/tex]=[tex]\frac{(6x5)+4}{5}[/tex]=[tex]\frac{34}{5}[/tex]
Area of a rectangle is found by multiply the width by the length. To multiply factions, multiply the top by the top, and bottom by the bottom.
Area= [tex]\frac{19}{4}[/tex] x [tex]\frac{34}{5}[/tex]
=[tex]\frac{19 x 34}{4x5}[/tex]
=[tex]\frac{646}{20}[/tex]
To convert a top-heavy fraction back into a mixed number, divide the denominator by the numerator and place the remainder over the numerator. 646÷20=32r6, so
[tex]\frac{646}{20}[/tex]=32[tex]\frac{6}{20}[/tex]
