. Cole spent some time working on his
history homework. Then, he spent 5/12
hour working on his Spanish
homework. Cole spent 1 hour on
homework. What fraction of an hour
did Cole spend on history? A 2/12 B5/12 C7/12 D12/12 ​

Respuesta :

Answer:

Time spent on history homework is 7/12 of an hour.

Step-by-step explanation:

Given:

Time spent by Cole for his homework = 1 hour

Time spent on Spanish homework = 5/12 hour

Let

Time spent on history homework be 'x' hours

So the summation of homework hour = 1

Accordingly:

⇒ [tex]x+\frac{5}{12} = 1[/tex]

⇒ [tex]\frac{12x+5}{12}=1[/tex]

⇒ [tex]12x+5=12[/tex]

⇒ [tex]12x+5-5=12-5[/tex]

⇒ [tex]12x=7[/tex]

⇒ [tex]x=\frac{7}{12}[/tex]

Time spent on history homework by Cole is 7/12 of an hour.

Option C is the right choice.