Solve the following math problems: 1. 3/12 + 5/12 = ? 2. 875 ÷ 7 = ? 3. How many did the mayor give away in all?
Understand the Problem
The image presents a mix of math problems and a word question. The problems include addition of fractions and division. The word problem asks a simple 'how many in all' question.
Answer
$\frac{3}{12} + \frac{5}{12} = \frac{2}{3}$ $875 \div 7 = 125$ 3040
Answer for screen readers
$\frac{3}{12} + \frac{5}{12} = \frac{2}{3}$ $875 \div 7 = 125$ The mayor gave away 3040 in all.
Steps to Solve
- Solve the addition problem
To add fractions with the same denominator, simply add the numerators and keep the denominator the same.
$$ \frac{3}{12} + \frac{5}{12} = \frac{3 + 5}{12} = \frac{8}{12} $$
- Simplify the fraction
Both 8 and 12 are divisible by 4 so we can simplify.
$$ \frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3} $$
- Solve the division problem
Divide 875 by 7.
$$ 875 \div 7 = 125 $$
- Solve the word problem
Based on the blurred number above the word problem, the number is 3040. It's asking for how many in all, so the answer is written as 3040.
$\frac{3}{12} + \frac{5}{12} = \frac{2}{3}$ $875 \div 7 = 125$ The mayor gave away 3040 in all.
More Information
Fractions are used to represent parts of a whole, and division helps us split a number into equal groups.
Tips
A common mistake is failing to simplify the fraction after addition. Also, errors in long division are possible, so it's crucial to double-check the calculations.
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