Question
Add the following expression: $\frac{3}{5}\text{x},\frac{2}{2}\text{x},\frac{-4}{5}\text{x}$
✓
Answer
$\frac{3}{5}\text{x},\frac{2}{3}\text{x},\Big(\frac{-4}{5}\text{x}\Big)$
$=\frac{3}{5}\text{x}+\frac{2}{3}\text{x}+\frac{-4}{5}\text{x}$
$=\frac{9\text{x}+10\text{x}-12\text{x}}{15}$
$(LCM$ of $5, 3 = 15)$
$=\frac{19\text{x}-15\text{x}}{15}$
$=\frac{7}{15}\text{x}$
$=\frac{3}{5}\text{x}+\frac{2}{3}\text{x}+\frac{-4}{5}\text{x}$
$=\frac{9\text{x}+10\text{x}-12\text{x}}{15}$
$(LCM$ of $5, 3 = 15)$
$=\frac{19\text{x}-15\text{x}}{15}$
$=\frac{7}{15}\text{x}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Write the following as rational numbers in their standard forms.
240÷(-840)
240÷(-840)
In right $\triangle \text{ABC},$ the lengths of the legs are given. Find the length of the hypotenuse.
$a = 6\ cm, b = 8\ cm$
→$a = 6\ cm, b = 8\ cm$
Solve the following equations
$\frac{P}{2}+6=12$
→$\frac{P}{2}+6=12$
Verity that the following number represent Pythagorean triplet:
$7, 24, 25$
→$7, 24, 25$
Convert the following as a mixed fraction: $6.004$
→Find the area of a rhombus in which
Each side $= 12\ cm$ and height $= 7.5\ cm.$
→Each side $= 12\ cm$ and height $= 7.5\ cm.$
Simplify and express the following in exponential form:
$\left\{\left(2^3\right)^4 \times 2^8\right\} + 2^{12}$
→$\left\{\left(2^3\right)^4 \times 2^8\right\} + 2^{12}$
In given pairs of triangles of Figure. using only $RHS$ congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:
→Find the following product: $5a(6a - 3b)$
→Using laws of exponents, simplify and write the answer in exponential form:
$5^{12} \div 2^3$
→$5^{12} \div 2^3$