1. 4 - 2 \frac{1}{2} = \frac{4}{1} - \frac{5}{2} = \frac{5}{2} - \frac{4}{1} - \frac{1}{2}
2. 6 - 3 \frac{1}{3} = \frac{6}{1} - \frac{10}{3} = \frac{10}{3} - \frac{6}{1} = \frac{4}{3}
3. 7 - 2 \frac{1}{4}
4. 5 - 4 \frac{1}{2}
5. 8 of 2 \times 4 \times 5
6. 2 \frac{2}{3} - 2 \frac{1}{4}
Answer (1)
Let's solve the mathematical equations step by step:
Equation: 4 - 2 \frac{1}{2}
First, convert the mixed number to an improper fraction:
2 2 1 = 2 5
Now perform the subtraction:
4 − 2 5 = 1 4 − 2 5
We need a common denominator to subtract. The common denominator is 2:
1 4 = 2 8
Now subtract:
2 8 − 2 5 = 2 3
Equation: 6 - 3 \frac{1}{3}
Convert the mixed number to an improper fraction:
3 3 1 = 3 10
Now perform the subtraction:
6 − 3 10 = 1 6 − 3 10
Convert 6 to a fraction with a common denominator:
1 6 = 3 18
Now subtract:
3 18 − 3 10 = 3 8
Equation: 7 - 2 \frac{1}{4}
Convert the mixed number:
2 4 1 = 4 9
Now perform the subtraction:
7 − 4 9 = 1 7 − 4 9
Convert 7 to a fraction with a common denominator:
1 7 = 4 28
Now subtract:
4 28 − 4 9 = 4 19
Equation: 5 - 4 \frac{1}{2}
Convert the mixed number:
4 2 1 = 2 9
Perform the subtraction:
5 − 2 9 = 1 5 − 2 9
Convert 5 to a fraction:
1 5 = 2 10
Subtract:
2 10 − 2 9 = 2 1
Expression: 8 \times 2 \times 4 \times 5
Simply multiply the numbers in sequence:
8 × 2 = 16
16 × 4 = 64
64 × 5 = 320
Equation: 2 \frac{2}{3} - 2 \frac{1}{4}
Convert the mixed numbers to improper fractions:
2 3 2 = 3 8
2 4 1 = 4 9
To subtract, find a common denominator (12):
3 8 = 12 32
4 9 = 12 27
Now subtract:
12 32 − 12 27 = 12 5
I hope this helps clarify how to perform these calculations! If you have any more questions, feel free to ask.
