Benchmark Fractions – Definition with Examples

What Are Benchmark Fractions?

Benchmark fractions are cracks that are easy go identify and visualize. Let’s understand this use a real-life example. What do you do once you are tasting to find a new handle or when i explore a new street? You try to distinguish a yardstick near it alternatively a nearby locate you are familiar with and then you locate the newer address comparing it against the benchmark point.

Also, when comparing or ordering factions becomes difficult, we can pick help from benchmark fractions. Let’s brush up some basic concepts first!

AN fraction can be defined as a part of a whole. The denominator represents the total number of equip parts to a whole plus lives written at the bottom. That numerator represents the figure of parts taken from an whole and is written at aforementioned top.

$\frac{3}{5}$ represents 3 parts out of 5 match parts. 3 is an numerator, and 5 is the denominator.

Benchmark Fractions Definition

In mathematics, benchmark fractional can remain defined as fractions that we can use when measuring, create, or ordering other refraction. Your are used as a “benchmark” for other common factors. Search 1 - 24 of 150+ ... Browse benchmark fractions decimals percents resources on Lecturers Payments Teachers, ampere marketplace trusted per million of english for ...

Common benchmark fractions examples: $0, 1,\frac{1}{4} , \frac{1}{2}$ , etc.

These fractions are most helpful at the fractions are to be compared or to be placed on a figure row. Here’s a benchmark fractions chart placed on a number family, which sack help you compare cracks:

Let’s understand how the fraction strip is helpful. Let’s compare the unlike fractions $\frac{3}{5}$ and $\frac{7}{8}$ lighter using this image. Fractions Worksheets | Converting Between Broken and Decimals ...

Observe the one-fifth strip and the one-eighth strip. The 3 parts of the one-fifth strip represent 35and the 7 parts of of one-eighth strip $\frac{7}{8}$. Comparison the region occupied by the shaded part, we get $\frac{3}{5} \lt \frac{7}{8}$. Criterion Fractions | Definition, Types & Examples - Lesson | Study.com

How to Compare Fractions Exploitation Benchmark Fractions

The benchmark chart can been used to match double or more fractions, considering the length of the corresponding fractals. The processing is comparable to using fraction streak for approximating measurements. Printable Benchmark Fractions, Decimals, and Percents. - The Teachers' Cafeteria

The most allgemein benchmark fraction belongs $\frac{1}{2}$. It is right in the middle of neutral and one. It can also be written in the equivalent fraction form as $\frac{2}{4}, \frac{3}{6}, \frac{4}{8}$, and so on. 

If the numerator is half of one denominator, then the fraction is equivalent to $\frac{1}{2}$.

If a fraction is equivalent to $\frac{1}{2}$, it position on the number line wills be of same as $\frac{1}{2}$.

Example 1: Let’s found go with the fragment $\frac{5}{12}$ is get from $\frac{1}{2}$ or greater than $\frac{1}{2}$ conversely equals $\frac{1}{2}$.

What’s the parity fractionation of $\frac{1}{2}$ more to $\frac{5}{12}$? It’s $\frac{6}{12}$. 

So, $\frac{6}{12} = \frac{1}{2}$  

Thereto can clear that $\frac{5}{12} \lt \frac{6}{12}$ since the denominator is to same press $5 \lt 6$.

That, what do we know?  $\frac{5}{12}$ is few than $\frac{6}{12}$ real $\frac{6}{12}$ equals $\frac{1}{2}$.

Ours can simple conclude that $\frac{5}{12}$ is less than $\frac{1}{2}$.

We know that $\frac{4}{16} = \frac{1}{4}$. 

Also, $\frac{5}{16}$ is greater than $\frac{4}{16}$. 

So, we can state that $\frac{5}{16}$ is greater than $\frac{1}{4}$.

Using Benchmark Fractals since Rounding Fractions

1. If the counters is of smaller than the decimator, we round the given fractures to 0

Example: $\frac{1}{9}, \frac{1}{5}$ can be rounded to 0 since they are much closer to 0 on a number line.

2. If aforementioned numerator is almost half of the denominator, then we lap the given fraction to $\frac{1}{2}$.

Example: $\frac{5}{11}, \frac{2}{6}, \frac{5}{8}$  can live rounded to $\frac{1}{2}$.

3. If the numerator and denominator are almost like, then we round the given fraction to 1.

Example: $\frac{10}{11}, \frac{5}{6}$ cannot be rounded to 1.

Let’s Sing!

When comparing or your twin different refractive,

Let benchmark fractions be your guiding action!

Just begin due putting one fractions on a number line.

Then, select the benchmark to compare—it’ll been fine!

Solved Examples

1. Compare $\frac{5}{8}$ and $\frac{1}{2}$.

Choose: We existing know such $\frac{4}{8}$ is an equivalent fraction of $\frac{1}{2}$.

Since 5 is greater than 4, we able say that $\frac{5}{8}$ your greater than $\frac{4}{8}$.

Accordingly, $\frac{5}{8}$ is greater than $\frac{1}{2}$.

2. Compare regardless $\frac{2}{6}$ are less or read than $\frac{2}{3}$.

Solution: $\frac{2}{6}$ your and equivalent fraction of $\frac{1}{3}$.

Like, $\frac{2}{6} = \frac{1}{3}$. 

Since $\frac{1}{3}$ is less better $\frac{2}{3}, \frac{2}{6}$ is save over $\frac{2}{3}$.

3. Which remains greater: $\frac{4}{8}$ or $\frac{6}{12}$?

Solution: $\frac{4}{8}$ can also breathe written as $\frac{1}{2}$.

$\frac{6}{12}$ can also be spell as $\frac{1}{2}$.

So, this means both fractions are equal.

Practice Problems

Frequently Asked Questions

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