Change each repeating decimal into fractions in lowest terms. Show your solutions in a piece of paper and upload a clear picture of your sol

Question

Change each repeating decimal into fractions in lowest terms. Show your solutions in a piece of paper and upload a clear picture of your solution for each item.

1. 0. 6666

2. 0.612612

3 0.5777

in progress 0
Raelynn 1 month 2021-09-17T08:01:45+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-17T08:03:04+00:00

    THE OTHER PERSON WHO HAS WRITTEN THE ANSWER HAS DONE EVERYTHING WRONG . MINE IS RIGHT . BELIEVE ME .

    AND PLEASE MARK ME THE BRAINLIEST

    HOPE IT HELPS YOU♥️

    Answer:

    1) 0.6666 = 0.6 = 6 3

    —- = —-

    10 5

    2) 0.612612 = 0.612 = 612 153

    ——- = ——

    1000 250

    3) 0.5777 = 0.57 =57 57

    —– = —–

    100 100

    1st Answer = 3

    {Lowest term}

    5

    2nd Answer = 153

    —— {Lowest term}

    250

    3rd Answer = 57

    —– {Lowest term}

    100

    0
    2021-09-17T08:03:30+00:00

    Answer:

    To convert a decimal to a fraction, we write the decimal number as a numerator, and we write its place value as the denominator.

    Example 1: 0.070.070, point, 07

    0.0\blueD70.070, point, 0, start color #11accd, 7, end color #11accd is \blueD77start color #11accd, 7, end color #11accd \text{\greenD{hundredths}}hundredthsstart text, start color #1fab54, h, u, n, d, r, e, d, t, h, s, end color #1fab54, end text. So, we write \blueD77start color #11accd, 7, end color #11accd over \greenD{100}100start color #1fab54, 100, end color #1fab54.

    0.07=\dfrac{\blueD7}{\greenD{100}}0.07=

    100

    7

    0, point, 07, equals, start fraction, start color #11accd, 7, end color #11accd, divided by, start color #1fab54, 100, end color #1fab54, end fraction

    But what about repeating decimals?

    Let’s look at an example.

    Rewrite 0.\overline{7}0.

    7

    0, point, start overline, 7, end overline as a simplified fraction.

    Let xxx equal the decimal:

    \large{x = 0.7777…}x=0.7777…x, equals, 0, point, 7777, point, point, point

    Set up a second equation such that the digits after the decimal point are identical:

    \large{\begin{aligned} 10x &= 7.7777…\\ x &= 0.7777… \end{aligned}}

    10x

    x

    =7.7777…

    =0.7777…

    To convert a decimal to a fraction, we write the decimal number as a numerator, and we write its place value as the denominator.

    Example 1: 0.070.070, point, 07

    0.0\blueD70.070, point, 0, start color #11accd, 7, end color #11accd is \blueD77start color #11accd, 7, end color #11accd \text{\greenD{hundredths}}hundredthsstart text, start color #1fab54, h, u, n, d, r, e, d, t, h, s, end color #1fab54, end text. So, we write \blueD77start color #11accd, 7, end color #11accd over \greenD{100}100start color #1fab54, 100, end color #1fab54.

    0.07=\dfrac{\blueD7}{\greenD{100}}0.07=

    100

    7

    0, point, 07, equals, start fraction, start color #11accd, 7, end color #11accd, divided by, start color #1fab54, 100, end color #1fab54, end fraction

    But what about repeating decimals?

    Let’s look at an example.

    Rewrite 0.\overline{7}0.

    7

    0, point, start overline, 7, end overline as a simplified fraction.

    Hope it helps you!!!

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )