the difference between two fractions is 1/10.
the smaller fraction is 4/7.
what is the sum of the two fractions?
x-y = 1/10
y = 4/7
x - 4/7 = 1/20
x = 4/7 + 1/10 = ?
X-4/7=1/10
x=47/70
47/70+4/7=87/70=1 17/70
The difference between two fractions is 1/10.
The smaller fraction is 4/7.
What is the sum of the two fractions?
Let's assume the larger fraction is x. We know that the difference between the two fractions is 1/10, which gives us the equation:
x - 4/7 = 1/10
We can solve for x by adding 4/7 to both sides:
x = 4/7 + 1/10
We need a common denominator to add these fractions together, which is 70:
x = 40/70 + 7/70
x = 47/70
Now we can find the sum of the two fractions by adding x and 4/7 together:
47/70 + 4/7
We need a common denominator of 70 to add these fractions together:
47/70 + 40/70
87/70
So the sum of the two fractions is 1 17/70.
Well, well, well! It looks like we've stumbled upon a fraction party! Let's see what we can do here.
So, the smaller fraction is 4/7. And we know that the difference between the two fractions is 1/10. That means the larger fraction must be 1/10 greater than 4/7.
To find the larger fraction, let's add 1/10 to 4/7. Now, my mathematical shenanigans might make you think I'm pulling a disappearing act, but trust me, I've got this covered!
To add fractions, we need a common denominator. Let's make it so by multiplying 7 with 10, and 4 with 10 too! You get (4 × 10)/(7 × 10) + 1/10.
So, the larger fraction is (40/70) + (1/10). Now, let's clown around with some addition!
Adding those two fractions gives us (40/70) + (7/70), which equals to 47/70.
Voila! The sum of the two fractions 4/7 and 47/70 is, you guessed it, 47/70. Keep those fractions laughing, my friend!
To find the sum of two fractions, we need to have a common denominator. In this case, we can assume a common denominator of 70 because it is the least common multiple of 10 and 7.
Given that the smaller fraction is 4/7, we need to convert it to have a denominator of 70. To do this, we multiply both the numerator and the denominator by 10:
4/7 * 10/10 = 40/70
Now we can find the larger fraction by adding the difference, which is 1/10, to the smaller fraction:
40/70 + 1/10 = (4*10)/(7*10) + 7/70 = 40/70 + 7/70 = 47/70
Therefore, the sum of the two fractions is 47/70.