(The) emotional meaning of the voice (vocal) sounds (of)  humans and apes are very simular (similar). But an ape teached (taught) to speak human language can not speak, because it's voice system differ (differs) from (the) human system, including the *control* voice control center into the brain. Though apes with teaching can communicate in sign language, like (the) chimpanzee Washoe.
Washoe was educated (by) Allen and Beatris Gardner. They are american zoopsychologists (zoo psychologists). After a few month (months) Washoe had used a few tens sign-words and then near (nearly) 300 words. She creatively used her vocabular (vocabulary). For example, if she needed to open the fridge, she showed signed 'the open coldbox - eat - drink' . Washoe made up phrases such as "give me tikle (tickles/a tickle)". If she saw an unpleasant somebody (person), she show (signed) "dirty".
Washoe preferred to call (a) duck " (a) water-bird" instead of the special (actual) sign.
The first Washoe's (first) cub (baby chimpanzee) was died soon after birth. She sat beside her cub  (baby chimpanzee) and showed (signed) "baby", "baby", waitingn (awaiting) the  (an) answer.

Corrected text:

The emotional meaning of the vocal sounds of humans and apes are very similar. But an ape taught to speak human language can not speak, because it's voice system differs from the human system, including the voice control center into the brain. Though apes with teaching can communicate in sign language, like the chimpanzee Washoe.
Washoe was educated by Allen and Beatris Gardner, American zoo psychologists. After a few months Washoe used a few sign-words and then nearly 300 words. She creatively used her vocabulary. For example, if she needed to open the fridge, she signed 'open coldbox - eat - drink' . Washoe made up phrases such as "give me tickles/a tickle". If she saw an unpleasant person, she signed "dirty".
Washoe preferred to call a duck " a water-bird" instead of the actual sign.
Washoe's first baby died soon after birth. She sat beside her baby and signed "baby", "baby", awaiting an answer.

Here are some tips I hope you find helpful:
*The is used with adjectives (emotional)
- when there is a specific one (the chimpanzee Washoe)
-when we’ve previously made mention of something (the chimpanzee)
*Vocal = an adjective relating to voice. Rather than using two nouns (voice sounds) try to find an appropriate adjective.
*Teach is an irregular noun. The past form is ‘taught’ not teached.
*When a singular noun is followed by a verb we add an ‘s’. (It’s voice system differs)
* People (or in this case animals) are educated by someone.
*Near - is a preposition. Nearly is an adverb (used with verbs such as ‘used’).
*’A few’ implies more than one, and therefore is always followed by a plural form (a few months)
*Somebody doesn’t take an article (such as, a, an or the). ( an unpleasant person or another alternative could be; somebody unpleasant)
*We use the articles ‘a’ and ‘an’ with common concrete nouns like duck.
*Unlike lions, tigers and bears whose offspring are called ‘cubs’ there is no specific name of Chimpanzee’s offspring. Generally they are either called chimpanzee babies or infants.
*Waiting should either be followed by ‘for’ then a noun, or else you can use ‘awaiting a/an’ and then a noun.

P.S. I really enjoyed reading this, I find animal/human communcation and relationships fascinating. :)