What is 5/20 plus 3/4?
5/20 plus 3/4 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 5/20 and 3/4 using Least Common Denominator and simplification.
Exact Answer
5/20 + 3/4 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 5/20 + 3/4
Step 1
Find the Least Common Denominator (LCD)
Notice that 20 is an exact multiple of 4 (4 ร 5 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.
LCD(20, 4) = 20
Step 2
Convert to Equivalent Fractions with Common Denominator 20
Multiply the numerator and denominator of 5/20 by 1, and multiply the numerator and denominator of 3/4 by 5 so both fractions share the common base 20.
5 ร 1/20 ร 1 = 5/20 and 3 ร 5/4 ร 5 = 15/20
Step 3
Add the Numerators
Now add the numerators (5 + 15 = 20) and keep the common denominator 20 unchanged.
5 + 15/20 = 20/20
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (20) is completely divisible by the denominator (20). Dividing 20 by 20 yields the whole number 1 with zero remainder.
20/20 = 1
Step 5
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
1 รท 1 = 1 (100%)
Visual Representation
The diagram below illustrates 5/20 plus 3/4 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1 |
| Mixed Number Form | 1 |
| Decimal Form | 1 |
| Percentage | 100% |
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Frequently Asked Questions
What is 5/20 plus 3/4 as a fraction?
5/20 + 3/4 in simplest fraction form is 1.
What is 5/20 plus 3/4 as a decimal?
5/20 + 3/4 converted to a decimal is 1.
What is 5/20 plus 3/4 as a percentage?
5/20 + 3/4 expressed as a percentage is 100%.
Is the answer to 5/20 plus 3/4 a whole number?
Yes, 5/20 + 3/4 simplifies completely to the whole number 1 with no remaining fractional part.