What is 9/37 plus 2/4? (Answer: 55/74)

Exact Answer

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Problem: What is 9/37 plus 2/4?
Formula / Expression: 9/37 + 2/4
Final Answer: 55/74
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 37 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 37 × 4 = 148.
Working: LCD(37, 4) = 148

Step 2: Convert to Equivalent Fractions with Common Denominator 148
Multiply the numerator and denominator of 9/37 by 4, and multiply the numerator and denominator of 2/4 by 37 so both fractions share the common base 148.
Working: 9 × 4/37 × 4 = 36/148 and 2 × 37/4 × 37 = 74/148

Step 3: Add the Numerators
Now add the numerators (36 + 74 = 110) and keep the common denominator 148 unchanged.
Working: 36 + 74/148 = 110/148

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 110 and 148, which is 2. Divide both the numerator and denominator by 2.
Working: 110 ÷ 2/148 ÷ 2 = 55/74

Step 5: Decimal & Percentage Representation
Dividing the numerator 55 by denominator 74 produces a repeating decimal (approximately 0.743243, or 74.3243%).
Working: 55 ÷ 74 = 0.743243 (74.3243%)

Key Values:
- Simplified Fraction: 55/74
- Mixed Number Form: 55/74
- Decimal Value: 0.743243
- Percentage: 74.3243%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-37-plus-2-4/
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9/37 + 2/4 = 55/74

Simplified Fraction

55/74

Mixed Number

Proper (55/74)

Decimal Value

0.743243

Percentage

74.3243%

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Step-by-Step Solution: 9/37 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 37 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 37 × 4 = 148.

LCD(37, 4) = 148

Step 2

Convert to Equivalent Fractions with Common Denominator 148

Multiply the numerator and denominator of 9/37 by 4, and multiply the numerator and denominator of 2/4 by 37 so both fractions share the common base 148.

9 × 4/37 × 4 = 36/148 and 2 × 37/4 × 37 = 74/148

Step 3

Add the Numerators

Now add the numerators (36 + 74 = 110) and keep the common denominator 148 unchanged.

36 + 74/148 = 110/148

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 110 and 148, which is 2. Divide both the numerator and denominator by 2.

110 ÷ 2/148 ÷ 2 = 55/74

Step 5

Decimal & Percentage Representation

Dividing the numerator 55 by denominator 74 produces a repeating decimal (approximately 0.743243, or 74.3243%).

55 ÷ 74 = 0.743243 (74.3243%)

Visual Representation

The diagram below illustrates 9/37 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/74`
Mixed Number Form	`55/74`
Decimal Form	`0.743243`
Percentage	`74.3243%`

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Frequently Asked Questions

What is 9/37 plus 2/4 as a fraction?

9/37 + 2/4 in simplest fraction form is 55/74.

What is 9/37 plus 2/4 as a decimal?

9/37 + 2/4 converted to a decimal is 0.743243.

What is 9/37 plus 2/4 as a percentage?

9/37 + 2/4 expressed as a percentage is 74.3243%.

Does 9/37 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.743243...) because the denominator contains prime factors other than 2 and 5.