Mr Pham will eat ([tex]\frac{1}{12}[/tex]) of the lasagna each night
To determine how much lasagna he will eat each night, we have to complete the following steps:
We will divide the amount of pan of lasagna left ( [tex]\frac{1}{4}[/tex] ) by the number of nights he would eat the lasagna (3) i.e. [tex]\frac{1}{4}[/tex] ÷ 3
Since we are dividing a fraction ( [tex]\frac{1}{4}[/tex] ) by a whole number (3), we would need to convert the whole number to a fraction. Hence, 3 becomes [tex]\frac{3}{1}[/tex]
Therefore, we have [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{1}[/tex]
To derive final answer, we have to convert the division sign (÷) to multiplication (x), and also exchange the places of the numerator and denominator of the second fraction ( [tex]\frac{3}{1}[/tex] ) i.e. (÷) become (x); ( [tex]\frac{3}{1}[/tex] ) becomes ( [tex]\frac{1}{3}[/tex] ).
Therefore we have [tex]\frac{1}{4}[/tex] x [tex]\frac{1}{3}[/tex]
We multiply the numerators of both fractions together, and also do the same to the denominators.
Therefore we have (1 x 1) / (4 x 3) = [tex]\frac{1}{12}[/tex]
= [tex]\frac{1}{4}[/tex] ÷ 3
= [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{1}[/tex]
= [tex]\frac{1}{4}[/tex] x [tex]\frac{1}{3}[/tex]
= (1 x 1) / (4 x 3)
= (1) / (12)
= [tex]\frac{1}{12}[/tex]
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