can you help me with this problem 5 divided by 0.8 work this out
The Correct Answer and Explanation is:
You want to calculate 5 ÷ 0.8.
Step 1: Convert the division into a simpler fraction
Dividing by 0.8 is the same as multiplying by its reciprocal. To get the reciprocal of 0.8, we can rewrite it as a fraction:
0.8 = 8/10.
Now, the reciprocal of 8/10 is 10/8.
So, the problem becomes:
5 ÷ 0.8 = 5 × (10/8).
Step 2: Simplify the multiplication
Now, we multiply 5 by 10/8. We can write 5 as a fraction, which is 5/1. So, the expression becomes:
(5/1) × (10/8).
Multiplying the numerators and denominators gives:
(5 × 10) / (1 × 8) = 50/8.
Step 3: Simplify the fraction
Now, we simplify 50/8 by dividing both the numerator and denominator by 2 (since 50 and 8 are both divisible by 2):
50 ÷ 2 = 25, and 8 ÷ 2 = 4.
So, the simplified fraction is:
25/4.
Step 4: Convert to a decimal
Finally, to convert 25/4 into a decimal, we divide 25 by 4:
25 ÷ 4 = 6.25.
Final Answer:
5 ÷ 0.8 = 6.25.
Explanation:
The division of a number by 0.8 can be thought of as multiplying that number by the reciprocal of 0.8. When you multiply by the reciprocal, it turns the division into a multiplication problem that is easier to handle. By converting 5 ÷ 0.8 into 5 × 10/8, we made the problem simpler to work with. After simplifying the fraction 50/8 into 25/4, we then convert it into the final decimal value, which is 6.25. This method allows us to handle divisions by decimal numbers efficiently and accurately.
