How do you convert 4/15 to a decimal?

Question

Eli Assouline · Accepted Answer

The decimal form of #4/15# is #0.2bar6#.

The numerator and denominator are divided. #4/15=# #0.2666...=# #0.2bar(6)# Certain countries have different conventions, but in the United States, the repeating decimal is represented by a bar above the repeating decimal; this bar is called a vinculum, and I've never heard anyone use it. You can read more about this at https://tutor.hix.ai

Nathan Axel · Answer

Assuming you do not have a calculator and you need to solve this manually. The explanation takes longer than doing the maths.

#0.26bar6# Using an example: note that the bar in #0.33bar(3)# means that the 3 repeats for ever With some question you are left with no choice and have to do a division. However, this question is one where you can use a #ul("sort of cheat method")# thus avoiding doing any long division. It's all about using what you already know. Note that #2xx15=30#. We also now that #1/3=0.333... # where the 3's just keep on repeating for ever. Perhaps we can use this. #ul("Lets have a play!")# Multiply by 1 and you do not change the value. However, 1 comes in many forms. #color(green)(4/15color(red)(xx1)color(white)("d")->color(white)("d")4/15 color(red)(xx2/2)=8/30)# #8/30# is the same as #8xxubrace(1/3)xx1/10# #color(white)("dddd.ddddddddddddd")uarr# #color(white)("dddddddddddddddd")0.333bar3" we know this bit"# #8xx0.333bar3xx1/10# Just dealing with the #8xx0.333bar3# bit first #0.333bar3# #ul(color(white)("dddd")8 larr" Multiply")# #color(white)("") 2.666......# Now we deal with the #xx1/10# bit #2.666...xx1/10=0.2666...# Using the standard abbreviation we have: #0.26bar6#

Savannah Anderson · Answer

undefined To convert 4/15 to a decimal, you divide the numerator (4) by the denominator (15).

4 ÷ 15 = 0.266666...

So, 4/15 as a decimal is approximately 0.267.