What is 1/8 plus 3/4? (Answer: 7/8)

Exact Answer

==================================================
Problem: What is 1/8 plus 3/4?
Formula / Expression: 1/8 + 3/4
Final Answer: 7/8
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 8 is an exact multiple of 4 (4 × 2 = 8). The Least Common Denominator (LCD) is simply 8, meaning we only need to scale one fraction.
Working: LCD(8, 4) = 8

Step 2: Convert to Equivalent Fractions with Common Denominator 8
Multiply the numerator and denominator of 1/8 by 1, and multiply the numerator and denominator of 3/4 by 2 so both fractions share the common base 8.
Working: 1 × 1/8 × 1 = 1/8 and 3 × 2/4 × 2 = 6/8

Step 3: Add the Numerators
Now add the numerators (1 + 6 = 7) and keep the common denominator 8 unchanged.
Working: 1 + 6/8 = 7/8

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 8 is 1, confirming that 7/8 cannot be reduced further—it is already in its simplest irreducible form.
Working: 7/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 8 yields an exact terminating decimal of 0.875 (or 87.5%).
Working: 7 ÷ 8 = 0.875 (87.5%)

Key Values:
- Simplified Fraction: 7/8
- Mixed Number Form: 7/8
- Decimal Value: 0.875
- Percentage: 87.5%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-8-plus-3-4/
==================================================

1/8 + 3/4 = 7/8

Simplified Fraction

7/8

Mixed Number

Proper (7/8)

Decimal Value

0.875

Percentage

87.5%

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: 1/8 + 3/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 8 is an exact multiple of 4 (4 × 2 = 8). The Least Common Denominator (LCD) is simply 8, meaning we only need to scale one fraction.

LCD(8, 4) = 8

Step 2

Convert to Equivalent Fractions with Common Denominator 8

Multiply the numerator and denominator of 1/8 by 1, and multiply the numerator and denominator of 3/4 by 2 so both fractions share the common base 8.

1 × 1/8 × 1 = 1/8 and 3 × 2/4 × 2 = 6/8

Step 3

Add the Numerators

Now add the numerators (1 + 6 = 7) and keep the common denominator 8 unchanged.

1 + 6/8 = 7/8

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 7 and 8 is 1, confirming that 7/8 cannot be reduced further—it is already in its simplest irreducible form.

7/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 8 yields an exact terminating decimal of 0.875 (or 87.5%).

7 ÷ 8 = 0.875 (87.5%)

Visual Representation

The diagram below illustrates 1/8 plus 3/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/8`
Mixed Number Form	`7/8`
Decimal Form	`0.875`
Percentage	`87.5%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1/8 plus 3/4 as a fraction?

1/8 + 3/4 in simplest fraction form is 7/8.

What is 1/8 plus 3/4 as a decimal?

1/8 + 3/4 converted to a decimal is 0.875.

What is 1/8 plus 3/4 as a percentage?

1/8 + 3/4 expressed as a percentage is 87.5%.

Does 1/8 plus 3/4 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.875) because the denominator in simplest terms contains only prime factors 2 and/or 5.