How to compare two fractions?
1. Fractions that have different signs:
- Any positive fraction is larger than any negative fraction:
- ie: 4/25 > - 19/2
2. A proper and an improper fraction:
- Any positive improper fraction is larger than any positive proper fraction:
- ie: 44/25 > 1 > 19/200
- Any negative improper fraction is smaller than any negative proper fraction:
- ie: - 44/25 < -1 < - 19/200
Therefore, 1/4 is greater than 1/8 and the answer to the question 'Is 1/4 greater than 1/8?' Which means that this equation is also true: 1/4 1/8 Note: When comparing fractions such as 1/4 and 1/8, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger. 1 / 8 The fractions have the same numerator, compare their denominators. Virtualdj 8.3.4459. The larger the denominator the smaller the positive fraction. The fractions sorted in ascending order: 1 / 8 1 / 4 Compare and sort the fractions in ascending order: - 1 / 8 vs.
3. Fractions that have both like numerators and denominators:
- The fractions are equal:
- ie: 89/50 = 89/50
4. Fractions that have unlike (different) numerators but like (equal) denominators.
- Positive fractions: compare the numerators, the larger fraction is the one with the larger numerator:
- ie: 24/25 > 19/25
- Negative fractions: compare the numerators, the larger fraction is the one with the smaller numerator:
- ie: - 19/25 < - 17/25
5. Fractions that have unlike (different) denominators but like (equal) numerators.
- Positive fractions: compare the denominators, the larger fraction is the one with the smaller denominator:
- ie: 24/25 > 24/26
- Negative fractions: compare the denominators, the larger fraction is the one with the larger denominator:
- ie: - 17/25 < - 17/29
6. Fractions that have different denominators and numerators (unlike denominators and numerators).
- To compare them, fractions should be built up to the same denominator (or if it's easier, to the same numerator).
(Redirected from Architect's scale)
A scale ruler is a tool for measuring lengths and transferring measurements at a fixed ratio of length; two common examples are an architect's scale and engineer's scale. In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale. A device for drawing straight lines is a straight edge or ruler. In common usage both are referred to as a ruler.
Architect's scale[edit]
A triangular architect's scale, made of brass
An architect's scale is a specialized ruler designed to facilitate the drafting and measuring of architectural drawings, such as floor plans and orthographic projections.
![What is smaller 1/4 or 1/8 What is smaller 1/4 or 1/8](/uploads/1/2/5/5/125595656/945822207.jpg)
Because the scale of such drawings are often smaller than life-size, an architect's scale features multiple units of length and proportional length increments.
For accuracy and longevity, the material used should be dimensionally stable and durable. Scales were traditionally made of wood, but today they are usually made of rigid plastic or aluminium. Architect's scales may be flat, with 4 scales, or have a symmetric 3-lobed cross-section, with 6 scales.
United States and Imperial units[edit]
In the United States, and prior to metrication in Britain, Canada and Australia, architect's scales are marked as a ratio of x inches-to-the-foot (typically written as x″=1′-0″). For example, one inch measured from a drawing with a scale of 'one-inch-to-the-foot' is equivalent to one foot in the real world (a scale of 1:12 measured from a drawing with a scale of 'two-inches-to-the-foot' is equivalent to six inches in the real world (a scale of 1:6). It is not to be confused with a true unitless ratio. A 1:5 architectural scale (inches to feet) would be a 1:60 unitless scale (inches to inches) since there are 60 inches in 5 feet.
Typical scales used in the United States are:
- full scale, with inches divided into sixteenths of an inch
The following scales are generally grouped in pairs using the same dual-numbered index line (one scale is read from the right, and the other scale is read from the left):
three-inches-to-the-foot (3″=1′-0″) (ratio equivalent 1:4) | one-and-one-half-inch-to-the-foot (11⁄2″=1′-0″) (1:8) |
one-inch-to-the-foot (1″=1′-0″) (1:12) | one-half-inch-to-the-foot (1⁄2″=1′-0″) (1:24) |
three-quarters-inch-to-the-foot (3⁄4″=1′-0″) (1:16) | three-eighths-inch-to-the-foot (3⁄8″=1′-0″) (1:32) |
one-quarter-inch-to-the-foot (1⁄4″=1′-0″) (1:48) | one-eighth-inch-to-the-foot (1⁄8″=1′-0″) (1:96) |
three-sixteenths-inch-to-the-foot (3⁄16″=1′-0″) (1:64) | three-thirty-seconds-inch-to-the-foot (3⁄32″=1′0″) (1:128) |
Metric units[edit]
Architect's scale rulers used in Britain and other metric countries are marked with ratios without reference to a base unit. Therefore, a drawing will indicate both its scale (ratio) and the unit of measurement being used.
In Britain, and elsewhere, the standard units used on architectural drawings are the (SI) unitsmillimetres (mm) and metres (m), whereas in France centimetres (cm) and metres are most often used.
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In Britain, for flat rulers, the paired scales often found on architect's scales are:
- 1:1/1:10
- 1:5/1:50
- 1:10/1:100
- 1:20/1:200
- 1:1250/1:2500
For triangular rulers, the paired scales are:
- 1:1/1:10
- 1:2/1:20
- 1:5/1:50
- 1:100/1:200
- 1:500/1:1000
- 1:1250/1:2500
Less common scales are:
- 1:25/1:250
- 1:331⁄3
- 2:1
In France, in engineering departments or architectural offices, here are some scales used :
- 1:100 / 1:300
- 1:200 / 1:400
- 1:250 / 1:500
Engineer's scale[edit]
Boxed set of 1850s ivory engineer's scales presented to the railway civil engineer George Turnbull in India. 16 scales are engraved.
An engineer's scale is a tool for measuring distances and transferring measurements at a fixed ratio of length. It is commonly made of plastic or aluminum, and is just over 12 inches (300 mm) long, but with only 12 inches of markings, leaving the ends unmarked so that the first and last measuring ticks do not wear off. It is used in making engineering drawings, commonly called blueprints, blue lines or plans in a specific scale. For example, 'one-tenth size' would appear on a drawing to indicate a part larger than the drawing on the paper itself. It is not to be used to measure machined parts to see if they meet specifications.
In the United States this scale is divided into decimalized fractions of an inch, but has a cross-section like an equilateral triangle, which enables the scale to have six edges indexed for measurement. One edge is divided into tenths of an inch, and the subsequent ones are directly marked for twentieths, thirtieths, fortieths, fiftieths, and finally sixtieths of an inch. Referred to as 1:10, 1:20, 1:30,1:40, 1:50 or 1:60 scale. Typically in civil engineering applications, 1:10 (1″=10′) is used exclusively for detail drawings. 1:20 and 1:40 scales are used for working plans. 1:60 is normally used only to show large areas of a project.
The engineer's scale came into existence when machining parts required a greater precision than the usual, binary fractionalization of the inch, as in the architect's scale, for houses and furniture. They were used, for example, in laying out printed circuit boards with the spacing of leads from integrated circuits as one-tenth of an inch.
See also[edit]
References[edit]
External links[edit]
Which Fraction Is Smaller 1/4 Or 1/8
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