Question

A box contains 4 red pencils and 6 black pencils. What fraction of the pencils are red write two equivalent fractions

Answer 1

You would add up all the pencils to get yiur denominator, so the denominator would be 4+6=10. Since there is 4 red pencils, 4/10 of the pencils are red. To get an equivalent fraction, you can divide by 2. 4 divided by 2 is 2. 10 divided by 2 is 5. So one of your equivalent fractions would be 2/5. To get your second equivalent fraction you have to multiply because 5 is prime and cannot be divided by anything but itself and 1. 10X2=20 and 4X2=8. So your second equivalent fraction could be 8/20.

If this makes it easier here is the final equation.

4/10=8/20=2/5

Answer 2

Fraction number is the rational number. The number which is above the ratio line is called numerator and the number which below the ratio is called the denominator. The two equivalent fraction fraction of the red pencils in the box is 6/10 and 3/5.

Given-

The total number of red pencils in the box are 4.

The total number of black pencils in the box are 6.

The total number of pencils in the box can be calculated by adding the number of red and black pencils in the box.

Suppose n is the total number of pencils in the box.Thus

$n=4+6$

$n=10$

Hence the total number of pencils in the box is 10. To know the fraction of red pencils we need to know about the fraction number.

What is fraction number?

Fraction number is the rational number. The number which is above the ratio line is called numerator and the number which below the ratio is called the denominator

To calculate the fraction of the red pencils in the box to the total pencil we have to divide the number of red pencils in the box to the total number of pencils. Let f is the fraction of the red pencils in the box. Therefore,

$f=\dfrac{6}{10}$

Thus the fraction of the red pencils in the box is 6/10. Simplify further to get another value of the fraction.

$f=\dfrac{3}{5}$

The another fraction of the red pencils in the box is 3/5.

Hence the two equivalent fraction fraction of the red pencils in the box is 6/10 and 3/5.

Learn more about the fraction number here;

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