If 5 M = 3N, then M : N is ________.

Answer

To solve the problem "If 5M = 3N, then M : N is ________," we can follow these steps:

### Step 1: Write the given equation
We start with the equation provided in the question:
\[ 5M = 3N \]

### Step 2: Rearrange the equation to express M in terms of N
To find the ratio of M to N, we need to express M in terms of N. We can do this by dividing both sides of the equation by 5:
\[ M = \frac{3N}{5} \]

### Step 3: Write the ratio M : N
The ratio M : N can be expressed as:
\[ \frac{M}{N} \]

Substituting the value of M from Step 2 into this ratio gives:
\[ \frac{M}{N} = \frac{\frac{3N}{5}}{N} \]

### Step 4: Simplify the ratio
When we simplify the fraction, the N in the numerator and denominator cancels out:
\[ \frac{M}{N} = \frac{3}{5} \]

### Step 5: Convert to ratio format
The ratio M : N can now be expressed in the standard ratio format:
\[ M : N = 3 : 5 \]

### Final Answer
Thus, the answer is:
\[ M : N = 3 : 5 \]

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