Khaleesi Herbert

2020-11-08

A true statement by inserting a symbol $<,>\phantom{\rule{1em}{0ex}}\text{or}\phantom{\rule{1em}{0ex}}=$ between the given numbers 7.123 and $\frac{456}{64}.$

jlo2niT

Given numbers:
$7.123\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\frac{456}{64}.$
For compare this numbers, we write the fraction $\frac{456}{64}$ as decimal and compare with the decimal 7.123.
$64\frac{7.125}{456.00}$
$-\frac{448}{80}$
$-\frac{64}{160}$
$-\frac{128}{320}$
$-\frac{320}{0}$
Hence, $\frac{456}{64}=7.125.$
Now, we compare this given decimal 7.123.
Original numbers $7.123\frac{4}{64}$
Decimals 7.123 7.125
Compare $7.123<7.125$
Thus, $7.123<\frac{456}{64}.$
$7.123<\frac{456}{64}$