Question

titus had 1/2 of a can of paint.He used 2/3 of paint to cover the tabeltop .what fraction of a full can of paint did titus use

Answer 1

Answer:

The answer is 1/3.He used 1/3rd of paint of a full can of paint.

Step-by-step explanation:

First let us find out how much paint was originally in the can.

1) Paint in the can = (1/2)(the full can of paint)

Now out of this much paint 2/3 of it are used to paint the table.

paint used = (paint in the can)(2/3)

we need to find the fraction of paint used with respect to a full can

so paint in the can is substituted with the full can of paint

paint used = (1/2)(2/3)(the full can of paint)  

hence (1/2)(2/3) = (2/6)  (multiply the denominators and the numerators)

let 2/6 be x

now we find that 2 and 6 are multiples of two

so we can divide 2 and 6 by two

so (2/6)*[(1/2)/(1/2)] now use the same rule for multiplying fractions and you will get

2*(1/2)/6*(1/2) which is equal to 1/3.

Answer 2

Titas used one-third of the full can of paint.

• A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.
• The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfil the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

Here, according to the given information,

Let x be the total amount of paint present inside the paint can.

The amount of can of paint Titas had = $\frac{1}{2} x.$

Now, Titas used $\frac{2}{3}$rd of the  $\frac{x}{2}$ amount of paint he had.

This means that, Titas used, $\frac{2}{3} .\frac{x}{2} = \frac{x}{3}$

Hence, Titas used one-third of the full can of paint.

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