Answered

James is supposed to feed his dog 1 1/3
cups of dog food every day.
James doesn’t want his dog to eat all of the food at once,
so he only gives him half of the food in the morning. What fraction of
the food does James give his dog in the morning?
Model:
Check with multiplication:



Answer :

Answer:

Converting the mixed number 1 1/3 cups to a fraction first makes it easier to calculate the amount James gives his dog in the morning.

  • Steps to solve:

  • Convert mixed number to fraction:

Represent the whole number part of the mixed number as a fraction with the same denominator (3) as the fractional part: 1 * (3/3) = 3/3

Now you have the whole number part and the fractional part in terms of thirds: 3/3 + 1/3

Combine the two fractions to get a single fraction representing the total cups: (3 + 1)/3 = 4/3 cups

  • Fraction of food given in the morning:

James gives half of the total amount, so find half of 4/3 cups: (1/2) * (4/3)

  • Simplify the answer:

Multiply the two fractions: 1/2 * 4/3 = 4/6

Simplify the fraction by dividing the numerator and denominator by 2: 4/6 = 2/3

Therefore, James gives his dog 2/3 of the cup of food in the morning.

#RanzFromIndonsian

semsee45

Answer:

2/3 of the food

Step-by-step explanation:

To find out what fraction of the food James gives his dog in the morning, we first need to determine how much food that is.

Since James is supposed to feed his dog 1 1/3 cups of food every day, and he gives his dog half of that amount in the morning, we need to calculate half of 1 1/3 cups.

Convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

[tex]1\frac13=\dfrac{1\times 3+1}{3}=\dfrac{3+1}{3}=\dfrac{4}{3}[/tex]

Now, divide 4/3 by 2, remember that when we divide a number by another number, the same result can be achieved by multiplying the first number by the reciprocal of the second number. The reciprocal of a number is simply 1 divided by that number. Therefore:

[tex]\dfrac{4}{3} \div 2=\dfrac{4}{3}\times \dfrac{1}{2}=\dfrac{4\times 1}{3\times 2}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]

So, as 2/3 is half of 1 1/3, James gives his dog 2/3 of the food in the morning.

To check if this is correct, we multiply 2/3 by 2 and see if the result matches the original amount of 1 1/3 cups:

[tex]\dfrac{2}{3} \times 2=\dfrac{2}{3}\times \dfrac{2}{1}=\dfrac{2\times2}{3\times1}=\dfrac{4}{3}=\dfrac{3+1}{3}=\dfrac{3}{3}+\dfrac{1}{3}=1\frac13[/tex]

As the result matches the original amount of 1 1/3 cups, this confirms that James gives his dog 2/3 of the food in the morning.

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