Answer:
Step-by-step explanation:
2 3
4
+
3 5
7
=
27
28
Result in decimals: 0.96428571428571
Calculation steps:
-2 3
4
+
3 5
7
= (-2 + 3) + (
-3
4
+
5
7
)
= 1 +
-3 × 7
4 × 7
+
5 × 4
7 × 4
= 1 +
-21
28
+
20
28
= 1 +
-21 + 20
28
= 1 +
-1
28
=
27
28
Further explanation
For the problem:
-2 3
4
+
3 5
7
= ?
Combine the whole numbers and fractions together:
(-2 + 3) + (
-3
4
+
5
7
)
The whole numbers part is:
-2 + 3 = 1
For the fractions part:
The Least Common Multiple (LCM) of 4 and 7 is 28. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
-3
4
+
5
7
=
-3 × 7
4 × 7
+
5 × 4
7 × 4
=
-21
28
+
20
28
Now that the fractions have like denominators, add the numerators:
-21
28
+
20
28
=
-21 + 20
28
=
-1
28
Put the whole number and fraction together:
1 +
-1
28
=
27
28
The result is:
-2 3
4
+
3 5
7
=
27
28
