solve 1/2 + 17/35 =
You can either change these to decimals or to fractions with a denominator of 70
1/2 = 35/70 = 0.5
17/35 = 34/70 = 0.4857
35/70 + 34/70 = 69/70
0.5 + 0.4857 = 0.9857
To solve the equation 1/2 + 17/35, you need to find a common denominator for the two fractions.
Step 1: Find the common denominator:
The denominator of the first fraction is 2, and the denominator of the second fraction is 35. To find the least common multiple (LCM) of 2 and 35, you can use the following steps:
- Prime factorize the numbers: 2 = 2^1 and 35 = 5^1 * 7^1.
- Take the highest power of each prime number: 2^1, 5^1, and 7^1.
- Multiply these highest powers together: 2^1 * 5^1 * 7^1 = 70.
So, the common denominator for the two fractions is 70.
Step 2: Convert the fractions to have the common denominator:
Multiply the numerator and denominator of the first fraction, 1/2, by 35 to make its denominator 70:
(1/2) * (35/35) = 35/70.
Multiply the numerator and denominator of the second fraction, 17/35, by 2 to make its denominator 70:
(17/35) * (2/2) = 34/70.
Now, the equation becomes 35/70 + 34/70.
Step 3: Add the fractions:
Since the fractions have the same denominator, you can just add their numerators:
35/70 + 34/70 = 69/70.
Therefore, the solution to the equation 1/2 + 17/35 is 69/70.