order the decimal from least to greatest 0.75, 0.5, 0.9, 0.6
0.5, 0.6, 0.75, 0.9
write 0.625 as a fraction in the simplest from
To write 0.625 as a fraction in its simplest form, we can see that the decimal is equivalent to 625/1000. However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 125. Thus, the simplified fraction is 5/8.
3/8 - 2/7
To subtract fractions, we need to have a common denominator.
The least common multiple (LCM) of 8 and 7 is 56.
So, we can rewrite the fractions with a common denominator of 56.
3/8 = (3 * 7) / (8 * 7) = 21/56
2/7 = (2 * 8) / (7 * 8) = 16/56
Now we can subtract:
3/8 - 2/7 = 21/56 - 16/56 = (21 - 16)/56 = 5/56
Therefore, 3/8 - 2/7 is equal to 5/56.
5/56 simplified
To simplify the fraction 5/56, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 5 and 56 is 1.
Dividing both the numerator and the denominator by 1, we get:
5/56 รท 1/1 = 5/56
Since the GCD is 1, the fraction 5/56 is already in its simplest form, and there is no further simplification possible.
(2/5)^2
To find the square of a fraction, we simply square both the numerator and the denominator separately.
(2/5)^2 = (2^2) / (5^2) = 4/25
Therefore, (2/5)^2 is equal to 4/25.
To order the decimals from least to greatest, we need to compare the values of each decimal. One way to do this is by looking at the digits in the tenths place.
Let's compare the tenths place digit of each decimal:
- 0.75 has 7 in the tenths place.
- 0.5 has 5 in the tenths place.
- 0.9 has 9 in the tenths place.
- 0.6 has 6 in the tenths place.
Starting from the smallest tenths place digit, we can see that 0.5 has the smallest value.
Next, we compare the tenths place digits that have not been used yet:
- 0.75 has 7 in the tenths place.
- 0.9 has 9 in the tenths place.
- 0.6 has 6 in the tenths place.
Now we can see that 0.6 has the next smallest value.
Finally, comparing the remaining tenths place digits:
- 0.75 has 7 in the tenths place.
- 0.9 has 9 in the tenths place.
This reveals that 0.75 is larger than 0.9.
Therefore, the decimals in order from least to greatest are:
0.5, 0.6, 0.75, 0.9