What is 4/8 divided by 7/21? (Answer: 3/2)

Exact Answer

==================================================
Problem: What is 4/8 divided by 7/21?
Formula / Expression: 4/8 ÷ 7/21
Final Answer: 1 1/2 (3/2)
==================================================

Step-by-Step Solution:

Step 1: Find the Reciprocal of the Second Fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 7/21 to get 21/7.
Working: 4/8 ÷ 7/21 = 4/8 × 21/7

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (4 × 21 = 84) and denominators (8 × 7 = 56).
Working: 4 × 21/8 × 7 = 84/56

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 84 and 56, which is 28. Divide both the numerator and denominator by 28.
Working: 84 ÷ 28/56 ÷ 28 = 3/2

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (3) is greater than the denominator (2), divide 3 by 2: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/2.
Working: 3/2 = 1 1/2

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 2 yields an exact terminating decimal of 1.5 (or 150%).
Working: 3 ÷ 2 = 1.5 (150%)

Key Values:
- Simplified Fraction: 3/2
- Mixed Number Form: 1 1/2
- Decimal Value: 1.5
- Percentage: 150%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-8-divided-by-7-21/
==================================================

4/8 ÷ 7/21 = 3/2

Simplified Fraction

3/2

Mixed Number

1 1/2

Decimal Value

1.5

Percentage

150%

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: 4/8 ÷ 7/21

Step 1

Find the Reciprocal of the Second Fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 7/21 to get 21/7.

4/8 ÷ 7/21 = 4/8 × 21/7

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (4 × 21 = 84) and denominators (8 × 7 = 56).

4 × 21/8 × 7 = 84/56

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 84 and 56, which is 28. Divide both the numerator and denominator by 28.

84 ÷ 28/56 ÷ 28 = 3/2

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (3) is greater than the denominator (2), divide 3 by 2: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/2.

3/2 = 11/2

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 2 yields an exact terminating decimal of 1.5 (or 150%).

3 ÷ 2 = 1.5 (150%)

Visual Representation

The diagram below illustrates 4/8 divided by 7/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/2`
Mixed Number Form	`1 1/2`
Decimal Form	`1.5`
Percentage	`150%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 4/8 divided by 7/21 as a fraction?

4/8 ÷ 7/21 in simplest fraction form is 3/2 (or 1 1/2 as a mixed number).

What is 4/8 divided by 7/21 as a decimal?

4/8 ÷ 7/21 converted to a decimal is 1.5.

What is 4/8 divided by 7/21 as a percentage?

4/8 ÷ 7/21 expressed as a percentage is 150%.

How do you write 4/8 divided by 7/21 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 3/2 can be written as the mixed number 1 1/2.

Does 4/8 divided by 7/21 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.