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If we subtract [tex]$\frac{3}{4}$[/tex] from a number we get [tex]$\frac{1}{2}$[/tex]. What is the number?

Solution:


Sagot :

To find the number from which subtracting [tex]\(\frac{3}{4}\)[/tex] yields [tex]\(\frac{1}{2}\)[/tex], follow these steps:

1. Let [tex]\(x\)[/tex] be the number we are looking for.

2. Write down the equation based on the problem statement:
[tex]\[ x - \frac{3}{4} = \frac{1}{2} \][/tex]

3. To isolate [tex]\(x\)[/tex], add [tex]\(\frac{3}{4}\)[/tex] to both sides of the equation:
[tex]\[ x = \frac{1}{2} + \frac{3}{4} \][/tex]

4. To perform the addition, we need to convert the fractions to have a common denominator.

- The common denominator for 2 and 4 is 4.

- Convert [tex]\(\frac{1}{2}\)[/tex] to a fraction with a denominator of 4:
[tex]\[ \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} \][/tex]

- [tex]\(\frac{3}{4}\)[/tex] already has the denominator 4, so it remains [tex]\(\frac{3}{4}\)[/tex].

5. Add the fractions [tex]\(\frac{2}{4}\)[/tex] and [tex]\(\frac{3}{4}\)[/tex]:
[tex]\[ \frac{2}{4} + \frac{3}{4} = \frac{2 + 3}{4} = \frac{5}{4} \][/tex]

6. Thus, the number [tex]\(x\)[/tex] is:
[tex]\[ x = \frac{5}{4} \][/tex]

7. Convert [tex]\(\frac{5}{4}\)[/tex] to a decimal to double-check:
[tex]\[ \frac{5}{4} = 1.25 \][/tex]

Therefore, the number we are looking for is [tex]\( \boxed{1.25} \)[/tex] or [tex]\( \frac{5}{4} \)[/tex].
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