What is 2/25 plus 5/8? (Answer: 141/200)

Exact Answer

==================================================
Problem: What is 2/25 plus 5/8?
Formula / Expression: 2/25 + 5/8
Final Answer: 141/200
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 25 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 25 × 8 = 200.
Working: LCD(25, 8) = 200

Step 2: Convert to Equivalent Fractions with Common Denominator 200
Multiply the numerator and denominator of 2/25 by 8, and multiply the numerator and denominator of 5/8 by 25 so both fractions share the common base 200.
Working: 2 × 8/25 × 8 = 16/200 and 5 × 25/8 × 25 = 125/200

Step 3: Add the Numerators
Now add the numerators (16 + 125 = 141) and keep the common denominator 200 unchanged.
Working: 16 + 125/200 = 141/200

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 141 and 200 is 1, confirming that 141/200 cannot be reduced further—it is already in its simplest irreducible form.
Working: 141/200

Step 5: Decimal & Percentage Representation
Dividing the numerator 141 by denominator 200 yields an exact terminating decimal of 0.705 (or 70.5%).
Working: 141 ÷ 200 = 0.705 (70.5%)

Key Values:
- Simplified Fraction: 141/200
- Mixed Number Form: 141/200
- Decimal Value: 0.705
- Percentage: 70.5%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-25-plus-5-8/
==================================================

2/25 + 5/8 = 141/200

Simplified Fraction

141/200

Mixed Number

Proper (141/200)

Decimal Value

0.705

Percentage

70.5%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 2/25 + 5/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 25 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 25 × 8 = 200.

LCD(25, 8) = 200

Step 2

Convert to Equivalent Fractions with Common Denominator 200

Multiply the numerator and denominator of 2/25 by 8, and multiply the numerator and denominator of 5/8 by 25 so both fractions share the common base 200.

2 × 8/25 × 8 = 16/200 and 5 × 25/8 × 25 = 125/200

Step 3

Add the Numerators

Now add the numerators (16 + 125 = 141) and keep the common denominator 200 unchanged.

16 + 125/200 = 141/200

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 141 and 200 is 1, confirming that 141/200 cannot be reduced further—it is already in its simplest irreducible form.

141/200

Step 5

Decimal & Percentage Representation

Dividing the numerator 141 by denominator 200 yields an exact terminating decimal of 0.705 (or 70.5%).

141 ÷ 200 = 0.705 (70.5%)

Visual Representation

The diagram below illustrates 2/25 plus 5/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`141/200`
Mixed Number Form	`141/200`
Decimal Form	`0.705`
Percentage	`70.5%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/25 plus 5/8 as a fraction?

2/25 + 5/8 in simplest fraction form is 141/200.

What is 2/25 plus 5/8 as a decimal?

2/25 + 5/8 converted to a decimal is 0.705.

What is 2/25 plus 5/8 as a percentage?

2/25 + 5/8 expressed as a percentage is 70.5%.

Does 2/25 plus 5/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.705) because the denominator in simplest terms contains only prime factors 2 and/or 5.