1/3 + 5/14 divided by 5/7

Any help?

divide 1st (multiply by inverse)

(1/3 * 7/5) + (5/14 * 7/5)

7/15 + 1/2 = 14/30 + 15/30

Sure, I can help you with that!

To solve the expression (1/3 + 5/14) รท 5/7, you can follow these steps:

Step 1: Find a common denominator for the two fractions in the numerator (1/3 and 5/14) by using the least common multiple (LCM) of the denominators, which is 42.
1/3 = (1/3) * (14/14) = 14/42
5/14 remains the same.

Step 2: Add the two fractions in the numerator using the common denominator 42:
14/42 + 5/14 = (14 * 1 + 5 * 3) / 42 = (14 + 15) / 42 = 29/42

Step 3: Divide the result (29/42) by the fraction in the denominator (5/7).
29/42 รท 5/7 = (29/42) * (7/5) = (29 * 7) / (42 * 5) = 203/210

So, the answer is 203/210.

Sure! To solve this expression, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

1. Let's start by simplifying the expression within the parentheses:
1/3 + 5/14

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 14 is 42. Thus, we can rewrite the fractions with a common denominator:
(1/3)*(14/14) + (5/14)*(3/3)
= 14/42 + 15/42

2. Now, we can add the fractions:
14/42 + 15/42
= (14 + 15) / 42
= 29/42

3. Next, we need to divide the result by 5/7:
29/42 รท 5/7

To divide fractions, we multiply the first fraction by the reciprocal of the divisor. Therefore, we can rewrite the expression as:
(29/42) * (7/5)

4. Multiply the fractions:
(29/42) * (7/5)
= (29 * 7) / (42 * 5)
= 203 / 210

So, the final answer to the expression 1/3 + 5/14 divided by 5/7 is 203/210.