The difference between two fractions is
1
10
.
The smaller fraction is
5
7
.
What is the sum of the two fractions?
5/7 + (5/7 + 1/10) = 1 37/70
2s2
To find the sum of the two fractions, we first need to find the larger fraction. We are given that the smaller fraction is 5/7, so we can find the larger fraction by adding 1/10 to 5/7.
To add fractions, we need to find a common denominator. The least common denominator (LCD) of 7 and 10 is 70. So, we need to convert 5/7 and 1/10 to fractions with a denominator of 70.
To convert 5/7 to a fraction with a denominator of 70, we can multiply both the numerator and denominator by 10:
5/7 * 10/10 = 50/70.
To convert 1/10 to a fraction with a denominator of 70, we can multiply both the numerator and denominator by 7:
1/10 * 7/7 = 7/70.
Now that both fractions have a denominator of 70, we can add them:
50/70 + 7/70 = 57/70.
So, the sum of the two fractions is 57/70.
To find the sum of the two fractions, we first need to determine the larger fraction.
Since we are given that the smaller fraction is 5/7 and the difference between the two fractions is 1/10, we can subtract the difference from the smaller fraction to find the larger fraction.
Subtracting 1/10 from 5/7:
5/7 - 1/10
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 7 and 10 is 70.
Converting 5/7 and 1/10 to have a denominator of 70:
(5/7) * (10/10) = 50/70
(1/10) * (7/7) = 7/70
Now we can subtract the two fractions:
50/70 - 7/70 = 43/70
Therefore, the larger fraction is 43/70.
To find the sum of the two fractions, we add the smaller fraction and the larger fraction:
(5/7) + (43/70)
Again, we need a common denominator. The least common multiple (LCM) of 7 and 70 is 70.
Converting 5/7 and 43/70 to have a denominator of 70:
(5/7) * (10/10) = 50/70
(43/70) * (1/1) = 43/70
Now we can add the two fractions:
50/70 + 43/70
Adding the numerators:
50 + 43 = 93
Therefore, the sum of the two fractions is 93/70.