rita finished her chemistry assignment in 7/8 hours. Then she completed her math assignment in 1/4 hours. How much more time did rita spend on her chemistry assignment

Respuesta :

Answer:

Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.

Step-by-step explanation:

Fraction of an hour Rita spent on chemistry assignment = [tex]\frac{7}{8}[/tex]

Fraction of an hour Rita spent on math assignment = [tex]\frac{1}{4}[/tex]

∴ Fraction of  hour Rita spent more on her chemistry assignment than math assignment

⇒  [tex]\frac{7}{8}-\frac{1}{4}[/tex]

To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8

To make the denominators same we need to multiply numerator and denominator of second fraction with 2.

⇒ [tex]\frac{7}{8}-\frac{1\times2}{4\times2}[/tex]

⇒ [tex]\frac{7}{8}-\frac{2}{8}[/tex]

After making the denominators common, we simply subtract numerators.

⇒ [tex]\frac{7-2}{8}[/tex]

⇒ [tex]\frac{5}{8}[/tex]

Therefore, Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.