Question

What is 7/10+1/4 in simplest form

Answer 1

$\text{Hey there!}$

$\mathsf{What\ is\ \dfrac{7}{10}+\dfrac{1}{4}\ in\ simplest\ form?}$

$\text{First, look for the lowest common denominator (LCD) of the fractions.}\\\text{If you did the calculations correctly, you should've came up with 20 as}\\\text{your LCD}$

$\mathsf{Here\ is\ how so: \dfrac{7\times2}{10\times2}+\dfrac{1\times5}{4\times5} = \ ?}$

$\mathsf{7\times2=14\leftarrow first\ numerator}\\\mathsf{10\times2=20\leftarrow first\ denominator}$

$\mathsf{1\times5=5\leftarrow second\ numerator}\\\mathsf{4\times5=20\leftarrow second\ denominator}$

$\mathsf{Your\ new\ equation\ SHOULD\ look\ like\ this: \dfrac{14}{20}+\dfrac{5}{20}}$

$\text{Since, your DENOMINATORS are ALIKE we can KEEP IT}$

$\mathsf{Which\ leaves\ us\ with\ the\ last\ step\ of\ the\ problem}$

$\mathsf{ \dfrac{14+5}{20}}}$

$\mathsf{14+5=19\leftarrow your\ new\ numerator}\\\\\mathsf{20 = 20\leftarrow your\ new\ denominator}$

$\boxed{\boxed{\bf{Answer: \mathsf{\dfrac{19}{20}}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{LoveYourselfFirst:)}$

Answer 2

Answer: 19/20

Step-by-step explanation:

7/10 turns into 14/20

1/4 turns into 5/20

14/20 + 5/20

14 + 5 over 20

= 19/20

19/20 is in simplest form.