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Answer:

The answer is A. 13

Step-by-step explanation:

HOW TO DIVIDE FRACTIONS?

• When a fraction is divided by another fraction, it is the same as multiplying the numerator by the reciprocal of the denominator. The reciprocal is the expression that is multiplied with another expression and the product is unity.

To illustrate, the division of fractions appear as:  

LET'S APPLY THIS METHOD:

PROBLEM: Jhon’s rope is 7 4/5 meters long and must be cut into 3/5 meters long pieces. How many pieces will he get?

• To find how many pieces can be cut, divide the length of the rope by the length of the pieces. This is made easier by multiplying the numerator by the reciprocal of the denominator which is shown below:

Step 1: We first convert our mixed number into an improper fraction:

=

Step 2: Proceed to the division of fractions:

= ÷

= ÷

Step 3: Get the reciprocal of the divisor and proceed to the multiplication of fractions.

= ÷

= ×

=

= 13

Therefore, Jhon will get 13 pieces of rope, each is 3/5 m. long.

Want to read more about the division of fractions? Just click the link below.

• Division of Fractions: brainly.ph/question/136596

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WORD PROBLEM: DIVISION OF FRACTIONS

Problem:

Jhon Christian has a piece of rope that is 7 4/5 meters long. If he cuts it into pieces that are each 3/5 meters of a unit long, how many pieces does he have?

Answer with Step-by-step explanation:

In order to solve for the number of pieces that we can have out of 7 4/5 meters long rope, we will divide these numbers. But before dividing them, we need to transform this mixed number 7 4/5 first into an improper fraction. With this, we just need to multiply the denominator which is 5 to the whole number which is 7, and we will obtain 35. The product should then be added to the numerator which is 4. Therefore, 35 plus 4 is 39, then we will just copy the denominator. Therefore, 7 4/5 is equivalent to 39/5.

Dividing them: 39/5 ÷ 3/5

We will get the reciprocal or the multiplicative inverse of 3/5 since it is the divisor. So 3/5 has a reciprocal of 5/3. Then we will change the operation to multiplication.

×

We can do an elimination process here to simplify the answer further. So, notice that we can cancel out the denominator of the dividend and the numerator of the divisor because both of them is 5. We can also cancel out 39 and 3 since the GCF of the two numbers is 3. The resulting expression is:

×

39 × 1/3

39/3 = 13

Therefore, there will be 13 pieces of 3/5-meter long from a 7 4/5-meter long rope.

Learn more about division of fractions:

brainly.ph/question/17878565

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