Wlorkout $$ \frac{2}{3}-\frac{4}{5}+\frac{6}{7} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 2/3-4/5+6/7 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2}{3}-\frac{4}{5}+\frac{6}{7}$$
- step1: Reduce fractions to a common denominator:
  $$\frac{2	imes 5	imes 7}{3	imes 5	imes 7}-\frac{4	imes 3	imes 7}{5	imes 3	imes 7}+\frac{6	imes 3	imes 5}{7	imes 3	imes 5}$$
- step2: Multiply the terms:
  $$\frac{2	imes 5	imes 7}{105}-\frac{4	imes 3	imes 7}{5	imes 3	imes 7}+\frac{6	imes 3	imes 5}{7	imes 3	imes 5}$$
- step3: Multiply the terms:
  $$\frac{2	imes 5	imes 7}{105}-\frac{4	imes 3	imes 7}{105}+\frac{6	imes 3	imes 5}{7	imes 3	imes 5}$$
- step4: Multiply the terms:
  $$\frac{2	imes 5	imes 7}{105}-\frac{4	imes 3	imes 7}{105}+\frac{6	imes 3	imes 5}{105}$$
- step5: Transform the expression:
  $$\frac{2	imes 5	imes 7-4	imes 3	imes 7+6	imes 3	imes 5}{105}$$
- step6: Multiply the terms:
  $$\frac{70-4	imes 3	imes 7+6	imes 3	imes 5}{105}$$
- step7: Multiply the terms:
  $$\frac{70-84+6	imes 3	imes 5}{105}$$
- step8: Multiply the terms:
  $$\frac{70-84+90}{105}$$
- step9: Calculate:
  $$\frac{76}{105}$$
The result of the expression $$ \frac{2}{3}-\frac{4}{5}+\frac{6}{7} $$ is $$ \frac{76}{105} $$ or approximately 0.72238095.
The result is $$ \frac{76}{105} $$ or approximately 0.722.

Wlorkout

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions