Question

what should be added to 5 4/15 to get 12 3/5? ​

Answer 1

Given :-

• It is given to find whether which fraction should be added to $\sf 5\frac{4}{15}$ to get $\sf 12\frac{3}{5}$.

Answer :-

Heyo! You can use the following Solution below;

1. Let's first solve the mixed fractions to improper fractions.

$\sf{5 \frac{4}{15} } \: \: and \: \: 12 \frac{3}{5}$

$\leadsto \sf{ \frac{79}{15} } \: \: and \: \: \frac{63}{5}$

⠀2. Now, we can form a linear equation ⠀⠀⠀to find the number which must be ⠀⠀⠀added to $\sf \frac{79}{15}$ to ⠀⠀⠀get $\sf \frac{63}{5}$.

$\sf{x + \frac{79}{15} = \frac{63}{5} }$

$\leadsto \sf{x = \frac{63}{5} - \frac{79}{15} }$

$\leadsto \sf{x = \frac{63 - 79}{30} }$

$\leadsto \sf{ x = \frac{ - 16}{30} }$

$\leadsto \sf{x = \frac{ \cancel{ - 16}}{ \cancel{30}}}$

$\leadsto \sf{x = \frac{ - 8}{15} }$

$\dashrightarrow$ Hence, $\bf \frac{-8}{15}$ must be added to $\sf{5\frac{4}{15}}$ to get $\sf{12\frac{3}{5}}$.

★ More Information :-

You should always remember;

In Linear Equations;

1. LHS (Negative) change to RHS (Positive)
2. LHS (Positive) change to RHS (Negative)
3. LHS (Multiplication) change to RHS (Division)
4. LHS (Division) change to RHS (Multiplication)

Answer 2

Given :-

It is given to find whether which fraction should be added to \sf 5\frac{4}{15}5154 to get \sf 12\frac{3}{5}1253 .

Answer :-

Heyo! You can use the following Solution below;

Let's first solve the mixed fractions to improper fractions.

\begin{gathered} \sf{5 \frac{4}{15} } \: \: and \: \: 12 \frac{3}{5} \\ \end{gathered}5154and1253

\begin{gathered} \leadsto \sf{ \frac{79}{15} } \: \: and \: \: \frac{63}{5} \\ \end{gathered}⇝1579and563

⠀2. Now, we can form a linear equation ⠀⠀⠀to find the number which must be ⠀⠀⠀added to \sf \frac{79}{15}1579 to ⠀⠀⠀get \sf \frac{63}{5}563 .

\begin{gathered} \sf{x + \frac{79}{15} = \frac{63}{5} } \\ \end{gathered}x+1579=563

\begin{gathered} \leadsto \sf{x = \frac{63}{5} - \frac{79}{15} } \\ \end{gathered}⇝x=563−1579

\begin{gathered} \leadsto \sf{x = \frac{63 - 79}{30} } \\ \end{gathered}⇝x=3063−79

\begin{gathered} \leadsto \sf{ x = \frac{ - 16}{30} } \\ \end{gathered}⇝x=30−16

\begin{gathered} \leadsto \sf{x = \frac{ \cancel{ - 16}}{ \cancel{30}}} \\ \end{gathered}⇝x=30−16

\begin{gathered} \leadsto \sf{x = \frac{ - 8}{15} } \\ \end{gathered}⇝x=15−8

\dashrightarrow⇢ Hence, \bf \frac{-8}{15}15−8 must be added to \sf{5\frac{4}{15}}5154 to get \sf{12\frac{3}{5}}1253 .

\begin{gathered} \\ \end{gathered}