Simplifying the Expression: 5/6+1/3x7/8 as a Fraction
In this article, we will simplify the expression 5/6+1/3x7/8 as a fraction. This expression involves adding and multiplying fractions, which can be challenging, but with the right steps, we can simplify it to its simplest form.
Step 1: Multiply 1/3 and 7/8
To start, we need to multiply 1/3 and 7/8. To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
1/3 × 7/8 = (1 × 7) / (3 × 8) = 7/24
Step 2: Add 5/6 and 7/24
Now, we need to add 5/6 and 7/24. To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 6 and 24. The LCM of 6 and 24 is 24. So, we can convert 5/6 to have a denominator of 24:
5/6 = (5 × 4) / (6 × 4) = 20/24
Now, we can add 20/24 and 7/24:
20/24 + 7/24 = (20 + 7) / 24 = 27/24
Simplified Expression
Therefore, the simplified expression of 5/6+1/3x7/8 as a fraction is:
27/24
We can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:
27 ÷ 3 = 9 24 ÷ 3 = 8
So, the final simplified expression is:
9/8
