The amount of liters of beverages Sam bring to the party is [tex]1\frac{5}{12}[/tex]
To determine the total amount of liters of beverages Sam bring to the party, the amount of liter of punch ( [tex]\frac{2}{3}[/tex] ) will be added to the amount of liter of tea ( [tex]\frac{3}{4}[/tex] ) he made. The derived value is the total amount he brings to the party.
Recall, both values to be added are fraction, hence, the lowest common denominator (LCD) of both denominators (3 and 4) needs to be known.
LCD of 3 and 4 = 12
= [tex]\frac{2}{3}[/tex] + [tex]\frac{3}{4}[/tex]
= (4 x 2) + (3 x 3) / 12
= (8) + (9) / 12
= 8 + 9 / 12
= [tex]\frac{7}{12}[/tex]
= [tex]1\frac{5}{12}[/tex] (further broken down to this)
Therefore, the total amount of liters Sam brings to the party is [tex]1\frac{5}{12}[/tex].
The above given math problem deals with fraction. Fraction is a numerical value that represents a part of a whole. It usually consists of a numerator and denominator.
To solve a fractional problem, the lowest common denominators of the given denominators of a math problem are factored out and then multiplied by the numerator as expressed above.
To solve a fraction problem, BODMAS (which is an order of operations) is applied, to derive an efficient answer.
LEARN MORE:
KEYWORDS:
