Question

Find the place value of 6 in the decimal forms of the following fractions:
$\frac{8}{5},\frac{5}{8},\frac{13}{2}$

• A. tenths, tens, ones
• B. tenths, tenths, ones
• C. tens, tens, tenths
• D. tenths, tenths, tens

Answer 1

The correct option is B tenths, tenths, ones

Given fractions are $\frac{8}{5},\frac{5}{8},\frac{13}{2}$.

$\frac{8}{5}=\frac{8\times 2}{5\times 2}=\frac{16}{10}=1.6$

$\frac{5}{8}=\frac{5\times 125}{8\times 125}=\frac{625}{1000}=0.625$

$\frac{13}{2}=\frac{13\times 5}{2\times 5}=\frac{65}{10}=6.5$

Decimal forms of those fractions are $1.6,0.625,6.5$
So, place value of $6$ in those decimals are tenths, tenths and ones respectively.