The problem is to add two fractions that have the same denominator. Specifically, we need to find the sum of $\frac{43}{6}$ and $\frac{114}{6}$.

ArithmeticFractionsAdditionRational Numbers
2025/5/16

1. Problem Description

The problem is to add two fractions that have the same denominator. Specifically, we need to find the sum of 436\frac{43}{6} and 1146\frac{114}{6}.

2. Solution Steps

Since the two fractions have the same denominator, we can add the numerators directly and keep the denominator the same.
So, we have
436+1146=43+1146\frac{43}{6} + \frac{114}{6} = \frac{43 + 114}{6}
Now, we need to add the numerators:
43+114=15743 + 114 = 157
So, the expression becomes:
1576\frac{157}{6}

3. Final Answer

1576\frac{157}{6}

Related problems in "Arithmetic"

The image presents two statements: "$2 + 1 = 4$" and "Odd numbers are divisible by 2". The problem i...

Basic ArithmeticNumber PropertiesDivisibilityLogical Reasoning
2025/6/6

The problem is to evaluate the sum $3^3 + 3^3 + 3^3$.

ExponentsOrder of OperationsSimplification
2025/6/6

The problem requires us to convert $0.0093 \text{ km}^2$ to $\text{cm}^2$.

Units ConversionAreaMetric SystemExponents
2025/6/5

The problem asks to calculate $\frac{11}{7} \div \frac{5}{8}$ and express the answer as a fraction i...

Fraction DivisionSimplifying Fractions
2025/6/5

The problem asks to calculate the area of a book in square meters, given its dimensions in centimete...

Area CalculationUnit ConversionMeasurement
2025/6/5

The problem states that $n\%$ of $4869$ is a certain value. The goal is to find $n$. Since the other...

PercentageArithmetic Operations
2025/6/3

The problem is to evaluate the expression $3\frac{3}{4} \times (-1\frac{1}{5}) + 5\frac{1}{2}$.

FractionsMixed NumbersOrder of OperationsArithmetic Operations
2025/6/3

We need to evaluate the expression $1\frac{1}{5} \times [(-1\frac{1}{4}) + (-3\frac{3}{4})]$.

FractionsMixed NumbersOrder of OperationsArithmetic Operations
2025/6/3

We need to evaluate the expression $1\frac{3}{10} + \frac{1}{2} \times (-\frac{3}{5})$.

FractionsMixed NumbersArithmetic OperationsOrder of Operations
2025/6/3

The problem asks us to evaluate the expression $1\frac{1}{5} \times (-\frac{2}{3}) + 1\frac{1}{5}$.

FractionsMixed NumbersOrder of OperationsArithmetic Operations
2025/6/3