What is 7/25 plus 2/5? (Answer: 17/25)

Exact Answer

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Problem: What is 7/25 plus 2/5?
Formula / Expression: 7/25 + 2/5
Final Answer: 17/25
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 25 is an exact multiple of 5 (5 × 5 = 25). The Least Common Denominator (LCD) is simply 25, meaning we only need to scale one fraction.
Working: LCD(25, 5) = 25

Step 2: Convert to Equivalent Fractions with Common Denominator 25
Multiply the numerator and denominator of 7/25 by 1, and multiply the numerator and denominator of 2/5 by 5 so both fractions share the common base 25.
Working: 7 × 1/25 × 1 = 7/25 and 2 × 5/5 × 5 = 10/25

Step 3: Add the Numerators
Now add the numerators (7 + 10 = 17) and keep the common denominator 25 unchanged.
Working: 7 + 10/25 = 17/25

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 17 and 25 is 1, confirming that 17/25 cannot be reduced further—it is already in its simplest irreducible form.
Working: 17/25

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 25 yields an exact terminating decimal of 0.68 (or 68%).
Working: 17 ÷ 25 = 0.68 (68%)

Key Values:
- Simplified Fraction: 17/25
- Mixed Number Form: 17/25
- Decimal Value: 0.68
- Percentage: 68%

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Solved with FractionsCalc:
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7/25 + 2/5 = 17/25

Simplified Fraction

17/25

Mixed Number

Proper (17/25)

Decimal Value

0.68

Percentage

68%

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Step-by-Step Solution: 7/25 + 2/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 25 is an exact multiple of 5 (5 × 5 = 25). The Least Common Denominator (LCD) is simply 25, meaning we only need to scale one fraction.

LCD(25, 5) = 25

Step 2

Convert to Equivalent Fractions with Common Denominator 25

Multiply the numerator and denominator of 7/25 by 1, and multiply the numerator and denominator of 2/5 by 5 so both fractions share the common base 25.

7 × 1/25 × 1 = 7/25 and 2 × 5/5 × 5 = 10/25

Step 3

Add the Numerators

Now add the numerators (7 + 10 = 17) and keep the common denominator 25 unchanged.

7 + 10/25 = 17/25

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 17 and 25 is 1, confirming that 17/25 cannot be reduced further—it is already in its simplest irreducible form.

17/25

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 25 yields an exact terminating decimal of 0.68 (or 68%).

17 ÷ 25 = 0.68 (68%)

Visual Representation

The diagram below illustrates 7/25 plus 2/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/25`
Mixed Number Form	`17/25`
Decimal Form	`0.68`
Percentage	`68%`

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Frequently Asked Questions

What is 7/25 plus 2/5 as a fraction?

7/25 + 2/5 in simplest fraction form is 17/25.

What is 7/25 plus 2/5 as a decimal?

7/25 + 2/5 converted to a decimal is 0.68.

What is 7/25 plus 2/5 as a percentage?

7/25 + 2/5 expressed as a percentage is 68%.

Does 7/25 plus 2/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.68) because the denominator in simplest terms contains only prime factors 2 and/or 5.