Solve the equation. then check your solution. a â€"" one-half = three-fifths a. negative 1 and startfraction 1 over 10 endfraction c. startfraction 9 over 16 endfraction b. 1 and startfraction 1 over 10 endfraction d. startfraction 1 over 10 endfraction



Answer :

According to given -

[tex]x + \frac{1}{2} = \frac{3}{5} [/tex]

To find x,

We subtract 1/2 on both sides

[tex]x + \frac{1}{2} - \frac{1}{2} = \frac{3}{5} - \frac{1}{2} [/tex]

[tex]x = \frac{3}{5} - \frac{1}{2} [/tex]

By taking LCM we get,

[tex]x = \frac{(3 \times 2 )- (5 \times 1)}{5 \times 2} [/tex]

[tex]x = \frac{6 - 5}{10} [/tex]

[tex]x = \frac{1}{10} [/tex]

Hence,

The correct option is d) 1/10

What are Fractions?

A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts.

  • The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.
  • The number below the line is called the denominator. It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection.

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The value of 'x' in given equation x + 1/2 = 3/5 is 1/10. so, correct option is (d).

What are Fraction?

Fraction are those which are not whole number. For example: 1/2, 3/4, 5/4 etc.

Or in other word, Fraction are the small part, or tiny part of something.

Fraction has generally two parts:

1. Numerator: which is on upper side of the given quantity.

2. Denominator: which is on lower side of the given quantity.

For example:

1. 3/4 is a fraction.

here 3 - Numerator, 4 - Denominator.

2. 5/8 is a fraction.

here 5 - Numerator, 8 - Denominator.

Here, we have given that:

x + 1/2 = 3/5

to find the value of x:

take 1/2 to the right side,

now, x = 3/5 - 1/2             ----- taking LCM

x = ( 6 - 5 )/10

x = 1/10

Hence,

The value of 'x' in given equation x + 1/2 = 3/5 is 1/10. so, correct option is (d).

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