Question

The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510<36 510<36 12>13 1 half is greater than 1 third 48>26 4 eighths is greater than 2 sixths 35>45

Answer 1

Answer:

$(d)$ $\frac{4}{8}>\frac{2}{6}$

Step-by-step explanation:

Given

$\frac{1}{4} <\frac{1}{6}$

$\frac{5}{10}<\frac{3}{6}$

$\frac{1}{2}>\frac{1}{3}$

$\frac{4}{8}>\frac{2}{6}$

$\frac{3}{5}>\frac{4}{5}$

Required

Select the unit fractions

If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. $\frac{1}{2}$ and not as an inequality i.e. $\frac{3}{5}>\frac{4}{5}$

Given the format of the question, what is required of the question is to select all correct inequality.

$(a)$ $\frac{1}{4} <\frac{1}{6}$

Convert to decimals

$0.25 < 0.167$ ---- This is not true because $0.25 > 0.167$

$(b)$ $\frac{5}{10}<\frac{3}{6}$

Convert to decimals

$0.5 < 0.5$ ---- This is not true because $0.5 = 0.5$

$(c)$ $\frac{1}{2}>\frac{1}{3}$

Convert to decimals

$0.5 > 0.33$ ---- This is true

$(d)$ $\frac{4}{8}>\frac{2}{6}$

Convert to decimals

$0.5 > 0.33$ ---- This is true

$(e)$ $\frac{3}{5}>\frac{4}{5}$

$0.6 > 0.8$ --- This is not true because $0.6 < 0.8$

So: the true inequality is:

$(d)$ $\frac{4}{8}>\frac{2}{6}$