What is 1/2 + 2 3/4 ? a. 4 b. 4 ¾ c. 4 1/4 d. 1​

Answers 2

Answer:

3 1/4

Step-by-step explanation:

Result

1

2

+

2 3

4

=

13

4

=

3 1

4

Result in decimals: 3.25

Calculation steps:

1

2

+

2 3

4

= (0 + 2) + (

1

2

+

3

4

)

= 2 +

1 × 2

2 × 2

+

3

4

= 2 +

2

4

+

3

4

= 2 +

2 + 3

4

= 2 +

5

4

= 2 +

1 1

4

=

3 1

4

Further explanation

For the problem:

1

2

+

2 3

4

= ?

Combine the whole numbers and fractions together:

(0 + 2) + (

1

2

+

3

4

)

The whole numbers part is:

0 + 2 = 2

For the fractions part:

The Least Common Multiple (LCM) of 2 and 4 is 4. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

1

2

+

3

4

=

1 × 2

2 × 2

+

3

4

=

2

4

+

3

4

Now that the fractions have like denominators, add the numerators:

2

4

+

3

4

=

2 + 3

4

=

5

4

5 ÷ 4 = 1R1, therefore:

5

4

=

1 1

4

Put the whole number and fraction together:

2 +

1 1

4

=

3 1

4

The result is:

1

2

+

2 3

4

=

3 1

4

Answer:

[tex]\orange {\big star\underline {underline {\pmb{\frank{\purple { Answer:}}}}}}[/tex]

what is [tex] \frac{1}{2} + 2\frac{3}{4} = [/tex]

[tex]4 \frac{1}{4} [/tex]

[tex]\boxed{\huge\purple{hope\:it's\:help} }[/tex]

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