Math Problem Statement
(5/9 + 5/6)(7/8 + 3/7)
Solution
To solve , follow these steps:
Step 1: Add the fractions inside each parenthesis.
First Parenthesis:
To add these fractions, we need a common denominator. The least common denominator (LCD) of 9 and 6 is 18.
Now, add the fractions:
Second Parenthesis:
The LCD of 8 and 7 is 56.
Now, add the fractions:
Step 2: Multiply the results of both parentheses.
Step 3: Simplify the fraction (if possible).
The greatest common divisor (GCD) of 1825 and 1008 is 1, so the fraction cannot be simplified further.
Thus, the final result is:
Would you like more details, or do you have any questions?
Here are 5 related questions to consider:
- How can you simplify a fraction more easily?
- How do you find the least common denominator (LCD) of two fractions?
- What are some common ways to check the accuracy of a fraction multiplication?
- How do you handle mixed numbers in operations like this?
- Can this fraction be represented as a decimal or percentage?
Tip: Always check if the fractions can be simplified before performing multiplication—it can save time in calculations!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Multiplication of Fractions
Least Common Denominator (LCD)
Formulas
Addition of fractions: (a/b) + (c/d) = (ad + bc) / bd
Multiplication of fractions: (a/b) * (c/d) = ac / bd
Theorems
Greatest Common Divisor (GCD)
Suitable Grade Level
Grades 7-9
Related Recommendation
Simplifying Fraction Expression Using Order of Operations: (7/9 + 3/8)(1/6 + 4/5)
Solving Fractions with Addition, Multiplication, and Subtraction
Solving the Fraction Expression -7/9 * (14/15 + 7/9)
How to Solve -3/5 + 6/7 + (-2/35) Using Least Common Denominator
Adding Fractions: 5/6 + 9/14 and Simplifying to Mixed Number