Frac 12 of 1 cup in cooking terms refers to one-twelfth of a cup, which is equivalent to about 2 tablespoons or approximately 1 ounce. This measurement is often used in recipes that require precise ingredient amounts. If you need to convert this further, it is also about 30 milliliters in metric terms.
In a proportion, the means are the middle terms, and the extremes are the outer terms. Given the means are 6 and 18, and the extremes are 9 and 12, the proportion can be expressed as ( \frac{9}{12} = \frac{6}{18} ). Simplifying both sides, ( \frac{9}{12} ) reduces to ( \frac{3}{4} ), and ( \frac{6}{18} ) reduces to ( \frac{1}{3} ), indicating that these values do not form a valid proportion.
To simplify the fraction ( \frac{24}{60} ), find the greatest common divisor (GCD) of 24 and 60, which is 12. Divide both the numerator and the denominator by 12 to get ( \frac{24 \div 12}{60 \div 12} = \frac{2}{5} ). Therefore, ( \frac{24}{60} ) in its lowest terms is ( \frac{2}{5} ).
To add the fractions ( \frac{2}{3} ) and ( \frac{11}{12} ), first find a common denominator. The least common multiple of 3 and 12 is 12. Convert ( \frac{2}{3} ) to ( \frac{8}{12} ), then add ( \frac{8}{12} + \frac{11}{12} = \frac{19}{12} ). Thus, ( \frac{2}{3} + \frac{11}{12} = \frac{19}{12} ) or ( 1 \frac{7}{12} ).
To add ( \frac{8}{3} ) and ( -\frac{9}{4} ), first find a common denominator, which is 12. Rewrite the fractions: ( \frac{8}{3} = \frac{32}{12} ) and ( -\frac{9}{4} = -\frac{27}{12} ). Now add them: ( \frac{32}{12} - \frac{27}{12} = \frac{5}{12} ). Therefore, ( \frac{8}{3} + -\frac{9}{4} = \frac{5}{12} ).
One third is represented as ( \frac{1}{3} ) and one quarter as ( \frac{1}{4} ). To find a common denominator, which is 12, we convert these fractions: ( \frac{1}{3} = \frac{4}{12} ) and ( \frac{1}{4} = \frac{3}{12} ). Adding these gives ( \frac{4}{12} + \frac{3}{12} = \frac{7}{12} ). Therefore, what is left is ( 1 - \frac{7}{12} = \frac{5}{12} ).
To add ( \frac{9}{12} ) and ( \frac{2}{4} ), first simplify ( \frac{2}{4} ) to ( \frac{1}{2} ) or ( \frac{6}{12} ) for a common denominator. Now, ( \frac{9}{12} + \frac{6}{12} = \frac{15}{12} ). This can be simplified to ( \frac{5}{4} ) or ( 1 \frac{1}{4} ).
To compare the two fractions, convert them to improper fractions. (3 \frac{10}{12}) converts to (\frac{46}{12}), while (2 \frac{6}{12}) converts to (\frac{30}{12}). Since (\frac{46}{12}) is greater than (\frac{30}{12}), (3 \frac{10}{12}) is indeed greater than (2 \frac{6}{12}).
To convert 2 12 tablespoons to cups, first convert the mixed number to an improper fraction: 2 12 tablespoons equals ( \frac{5}{2} ) tablespoons. Since there are 16 tablespoons in a cup, you can convert tablespoons to cups by dividing by 16: [ \frac{5}{2} \div 16 = \frac{5}{32} \text{ cups}. ] Thus, 2 12 tablespoons is ( \frac{5}{32} ) cups.
To find a fraction between ( \frac{2}{3} ) and ( \frac{1}{4} ), we can first convert them to a common denominator. The least common multiple of 3 and 4 is 12, so ( \frac{2}{3} = \frac{8}{12} ) and ( \frac{1}{4} = \frac{3}{12} ). A fraction between them could be ( \frac{5}{12} ) or ( \frac{7}{12} ). Both of these fractions are greater than ( \frac{1}{4} ) and less than ( \frac{2}{3} ).
To find the sum of ( \frac{3}{4} ) and ( \frac{5}{16} ), first convert ( \frac{3}{4} ) to a fraction with a denominator of 16: ( \frac{3}{4} = \frac{12}{16} ). Now, add ( \frac{12}{16} ) and ( \frac{5}{16} ): ( \frac{12}{16} + \frac{5}{16} = \frac{17}{16} ). Therefore, the sum is ( \frac{17}{16} ) or ( 1 \frac{1}{16} ).
To find the fraction of pizza that was uneaten, we first add the fractions eaten by each workman: ( \frac{1}{3} + \frac{1}{4} + \frac{1}{6} ). The least common multiple of 3, 4, and 6 is 12, so we convert the fractions: ( \frac{4}{12} + \frac{3}{12} + \frac{2}{12} = \frac{9}{12} ). Therefore, the fraction of pizza that was uneaten is ( 1 - \frac{9}{12} = \frac{3}{12} ), which simplifies to ( \frac{1}{4} ).
A gallon jug of milk that is three-fourths full contains ( \frac{3}{4} ) gallons. After breakfast and a jog, it is one-twelfth full, which is ( \frac{1}{12} ) gallons. To find the difference, subtract ( \frac{1}{12} ) from ( \frac{3}{4} ). Converting ( \frac{3}{4} ) to twelfths gives ( \frac{9}{12} ), so the difference is ( \frac{9}{12} - \frac{1}{12} = \frac{8}{12} ), which simplifies to ( \frac{2}{3} ) gallons.