Answer:
[tex]( \frac{7}{10} - \frac{5}{8} )[/tex] ÷ [tex]\frac{1}{16} = \frac{6}{5}[/tex]
Step-by-step explanation:
[tex]( \frac{7}{10} - \frac{5}{8} )[/tex] ÷ [tex]\frac{1}{16}[/tex]
first, do the equation in the bracket:
⇒ [tex]\frac{7}{10} - \frac{5}{8}[/tex]
before solving, make sure both denominators are the same:
⇒ [tex]\frac{7}{10} x 8 = \frac{56}{80}[/tex]
⇒ [tex]\frac{5}{8} x 10 = \frac{50}{80}[/tex]
solve with new equations:
⇒ [tex]\frac{56}{80} - \frac{50}{80}[/tex]
⇒ [tex]\frac{6}{80}[/tex]
next take [tex]\frac{6}{80}[/tex] and divide it to [tex]\frac{1}{16}[/tex]:
( when dividing fractions, multiply the first fraction by the reciprocal of the second fraction = [tex]\frac{6}{80}[/tex] x [tex]\frac{16}{1}[/tex] )
⇒ [tex]\frac{6}{80}[/tex] x [tex]\frac{16}{1}[/tex]
⇒ [tex]\frac{96}{80}[/tex]
reduce the fraction:
⇒ [tex]\frac{96}{80}[/tex] = [tex]\frac{6}{5}[/tex]
