The problem is a series of calculations that need to be completed step by step to arrive at the final answer. The goal is to fill in the missing values in the given equations. The starting equation is $\frac{3}{4} \times \frac{3}{5}$.

ArithmeticFractionsMultiplicationStep-by-step Calculation
2025/6/9

1. Problem Description

The problem is a series of calculations that need to be completed step by step to arrive at the final answer. The goal is to fill in the missing values in the given equations. The starting equation is 34×35\frac{3}{4} \times \frac{3}{5}.

2. Solution Steps

Let's break down the calculation step-by-step and fill in the missing numbers:
First step:
34×35=34×(35×1)÷1\frac{3}{4} \times \frac{3}{5} = \frac{3}{4} \times (\frac{3}{5} \times 1) \div 1
Second step:
34×35=34×3÷5\frac{3}{4} \times \frac{3}{5} = \frac{3}{4} \times 3 \div 5
Because 35=3÷5\frac{3}{5} = 3 \div 5
Third step:
34×35=3×34÷5\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4} \div 5
Fourth step:
34×35=3×34×5\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5}

3. Final Answer

34×35=34×(35×1)÷1\frac{3}{4} \times \frac{3}{5} = \frac{3}{4} \times (\frac{3}{5} \times 1) \div 1
34×35=34×3÷5\frac{3}{4} \times \frac{3}{5} = \frac{3}{4} \times 3 \div 5
34×35=3×34÷5\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4} \div 5
34×35=3×34×5\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5}

Related problems in "Arithmetic"

The problem is to evaluate the expression $(8 + \frac{28}{3}) - (\frac{1}{2} - \frac{7}{3})$.

FractionsArithmetic OperationsOrder of Operations
2025/6/9

We need to fill in the blanks with the correct inequality or equality signs to describe the relation...

InequalitiesMultiplicationReal NumbersNumber Properties
2025/6/9

The problem asks us to categorize multiplication expressions into three groups based on whether the ...

MultiplicationFractionsInequalitiesComparison
2025/6/9

The problem consists of two sub-problems: (1) If 1 meter of ribbon costs 240 yen, what is the cost o...

FractionsMultiplicationUnit Conversion
2025/6/9

The problem states that four dyes are mixed in the ratio $7:3:19:5$. The mass of the first dye is $...

RatioProportionFractionsMixed NumbersPercentage
2025/6/9

The problem provides two pie charts showing the passenger traffic (in millions of passenger-kilomete...

PercentageUnits ConversionProblem SolvingEstimation
2025/6/8

The problem asks us to calculate the average broadcast time of a single spot advertisement in 1984, ...

AverageUnit ConversionDivision
2025/6/8

The problem asks to calculate the average broadcast time of a spot advertisement in seconds for the ...

Unit ConversionAverageDivisionRounding
2025/6/8

The problem asks to find how many times the advertising cost of "Service/Leisure" in 2002 is compare...

RatioPercentagesData AnalysisReal-World Application
2025/6/8

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