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
