What is the quotient of 7÷4/5 ?(1 point) Responses 8 3/4 8 Start Fraction 3 over 4 End Fraction 5/28 Start Fraction 5 over 28 End Fraction 435 Start Fraction 4 over 35 End Fraction 28/5

To solve the expression 7 ÷ 4/5, we can convert it to a multiplication problem by finding the reciprocal of 4/5. The reciprocal of 4/5 is 5/4.

Now we can rewrite the expression as 7 * 5/4.

Multiplying 7 by 5 gives us 35.

The final answer is 35/4, which can be simplified to 8 3/4.

So, the quotient of 7 ÷ 4/5 is 8 3/4.

To find the quotient of 7 ÷ (4/5), you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, you need to divide 7 by the fraction 4/5. To divide by a fraction, you can multiply by its reciprocal. The reciprocal of 4/5 is 5/4.

So, you can rewrite the expression as 7 * (5/4).

Next, multiply the numerator (7) by the numerator (5) and the denominator (4) by the denominator (4).

7 * 5 = 35
4 * 4 = 16

Now, you have the expression 35/16.

The quotient of 7 ÷ (4/5) is 35/16.

To find the quotient of 7 divided by (4/5), we can multiply the dividend (7) by the reciprocal of the divisor (4/5).

The reciprocal of 4/5 is 5/4.
So, we can rewrite the expression as 7 * (5/4).

To multiply fractions, we multiply the numerators together and the denominators together.
In this case, the numerator of the product will be 7 * 5, which is 35, and the denominator of the product will be 4.

Therefore, the quotient of 7 ÷ (4/5) is 35/4, which can also be expressed as 8 3/4.

Maurice has 4/5 of a bag of popcorn left to share with his 2 brothers. If each of the three brothers will get the same amount, how much of the bag will each person get?(1 point) Responses 4/15 Start Fraction 4 over 5 End Fraction 3 3/4 3 Start Fraction 3 over 4 End Fraction 2/5 Start Fraction 2 over 5 End Fraction 2 2/5

To find how much each person will get, we need to divide the amount of popcorn left (4/5) by the number of people (3).

Dividing 4/5 by 3 can be done by multiplying the dividend (4/5) by the reciprocal of the divisor (3/1).

So, we can rewrite the expression as (4/5) * (1/3).

To multiply fractions, we multiply the numerators together and the denominators together.
In this case, the numerator of the product will be 4 * 1, which is 4, and the denominator of the product will be 5 * 3, which is 15.

Therefore, each person will get 4/15 of the bag of popcorn.

So, the correct response is: 4/15