How is 0.7/ 1.275 is equal to 0.7/ 0.3
well, 1.275 = 1275/1000 = 51/40
so 0.7/ 1.275
= (7/10) ÷ (51/40)
= (7/10)(40/51) = 28/51 ≠ .7/.3
Besides .7/.3 would need to be reduced to 7/3
To simplify the expression 0.7/1.275 and determine if it is equal to 0.7/0.3, we need to find the common denominator for both fractions.
Let's first simplify:
0.7/1.275 = (0.7 * 1000)/(1.275 * 1000)
= 700/1275
Now, let's simplify 0.7/0.3:
0.7/0.3 = (0.7 * 10)/(0.3 * 10)
= 7/3
As we can see, 700/1275 is not equal to 7/3. Therefore, 0.7/1.275 is not equal to 0.7/0.3.
To understand why 0.7 divided by 1.275 is equal to 0.7 divided by 0.3, we need to simplify both divisions.
Let's start with 0.7 divided by 1.275. To divide a decimal number, we can first move the decimal point of the divisor (the number we are dividing by) to the right until it becomes a whole number. In this case, the divisor is 1.275. We can move the decimal point one place to the right, making it 12.75.
Now, let's do the same to the dividend (the number we are dividing). The dividend is 0.7. We move the decimal point one place to the right, making it 7.0.
Now, we have 7.0 divided by 12.75. To simplify this division, you can divide both the dividend and divisor by their greatest common divisor (GCD) to get an equivalent fraction.
In this case, the GCD of 7.0 and 12.75 is 0.25. Divide both numbers by 0.25:
7.0 ÷ 0.25 = 28
12.75 ÷ 0.25 = 51
Now, we have 28 divided by 51, which cannot be simplified further. Therefore, 0.7 divided by 1.275 is equal to 28/51.
Now, let's move on to 0.7 divided by 0.3. To simplify this division, we can do the same process as before.
Move the decimal point of the divisor (0.3) to the right until it becomes a whole number. One place to the right gives us 3.
Move the decimal point of the dividend (0.7) one place to the right, resulting in 7.0.
Now, we have 7.0 divided by 3. To simplify further, we can divide both numbers by their GCD, which in this case is 1:
7.0 ÷ 1 = 7
3 ÷ 1 = 3
We are left with 7 divided by 3, which cannot be simplified further. Therefore, 0.7 divided by 0.3 is equal to 7/3.
In conclusion, 0.7 divided by 1.275 is not equal to 0.7 divided by 0.3. They result in different fractions: 28/51 and 7/3, respectively.