We need to find the number that makes the ratio $x:1$ equivalent to $77:7$.

ArithmeticRatioProportionEquivalent Ratios
2025/3/7

1. Problem Description

We need to find the number that makes the ratio x:1x:1 equivalent to 77:777:7.

2. Solution Steps

We are given the ratio 77:777:7. We want to find an equivalent ratio of the form x:1x:1.
To do this, we can divide both sides of the original ratio by
7.
777:77\frac{77}{7} : \frac{7}{7}
11:111 : 1
Therefore, x=11x = 11.

3. Final Answer

1111

Related problems in "Arithmetic"

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

The problem is to evaluate the expression $-4 \times 3 - (-2)^3$.

Order of OperationsInteger Arithmetic
2025/6/3

We need to evaluate the expression $(-2)^3 \div (-3)^3 \times (-6)^2 \div 4^2$.

Order of OperationsExponentsFractionsSimplification
2025/6/1

The problem is to evaluate the expression $-3^2 - (-2)^3$.

Order of OperationsExponentsInteger Arithmetic
2025/6/1

We need to evaluate the expression $(-3\frac{2}{3}) \div 6\frac{7}{8} - \frac{1}{3}$.

FractionsMixed NumbersArithmetic Operations
2025/6/1

The problem is to evaluate the expression $(-36) \div (-9) - (-2) \times (-5)$.

Order of OperationsInteger ArithmeticDivisionMultiplicationSubtraction
2025/6/1